| Base | Representation |
|---|---|
| bin | 100111110010110… |
| … | …100010000000000 |
| 3 | 1201112021020210211 |
| 4 | 213302310100000 |
| 5 | 2331403221030 |
| 6 | 150125403504 |
| 7 | 22354532563 |
| oct | 4762642000 |
| 9 | 1645236724 |
| 10 | 667632640 |
| 11 | 312952314 |
| 12 | 167709594 |
| 13 | a84189cc |
| 14 | 649504da |
| 15 | 3d92c12a |
| hex | 27cb4400 |
667632640 has 88 divisors (see below), whose sum is σ = 1686072960. Its totient is φ = 252960768.
The previous prime is 667632631. The next prime is 667632649. The reversal of 667632640 is 46236766.
It is an interprime number because it is at equal distance from previous prime (667632631) and next prime (667632649).
It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 667632593 and 667632602.
It is not an unprimeable number, because it can be changed into a prime (667632649) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93849 + ... + 100711.
It is an arithmetic number, because the mean of its divisors is an integer number (19159920).
Almost surely, 2667632640 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 667632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843036480).
667632640 is an abundant number, since it is smaller than the sum of its proper divisors (1018440320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
667632640 is a wasteful number, since it uses less digits than its factorization.
667632640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6907 (or 6889 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 40.
The square root of 667632640 is about 25838.5881967262. The cubic root of 667632640 is about 874.0021888314.
The spelling of 667632640 in words is "six hundred sixty-seven million, six hundred thirty-two thousand, six hundred forty".
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