| Base | Representation |
|---|---|
| bin | 1010010010100… |
| … | …10010111100000 |
| 3 | 20000102112121120 |
| 4 | 11021102113200 |
| 5 | 134044224413 |
| 6 | 12322052240 |
| 7 | 2065466403 |
| oct | 511222740 |
| 9 | 200375546 |
| 10 | 86320608 |
| 11 | 447a8a50 |
| 12 | 24aaa080 |
| 13 | 14b642aa |
| 14 | b66dd3a |
| 15 | 78a1723 |
| hex | 52525e0 |
86320608 has 96 divisors (see below), whose sum is σ = 253072512. Its totient is φ = 25536000.
The previous prime is 86320607. The next prime is 86320639. The reversal of 86320608 is 80602368.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (86320607) 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 15 ways as a sum of consecutive naturals, for example, 44458 + ... + 46358.
It is an arithmetic number, because the mean of its divisors is an integer number (2636172).
Almost surely, 286320608 is an apocalyptic number.
86320608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 86320608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126536256).
86320608 is an abundant number, since it is smaller than the sum of its proper divisors (166751904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86320608 is a wasteful number, since it uses less digits than its factorization.
86320608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1968 (or 1960 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 86320608 is about 9290.8884397564. Note that the first 3 decimals coincide. The cubic root of 86320608 is about 441.9483297161.
The spelling of 86320608 in words is "eighty-six million, three hundred twenty thousand, six hundred eight".
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