| Base | Representation |
|---|---|
| bin | 1010000101111… |
| … | …11111000000000 |
| 3 | 12220022210011000 |
| 4 | 11002333320000 |
| 5 | 133134001000 |
| 6 | 12222452000 |
| 7 | 2045462100 |
| oct | 502777000 |
| 9 | 186283130 |
| 10 | 84672000 |
| 11 | 43882366 |
| 12 | 24434000 |
| 13 | 14707a9a |
| 14 | b361200 |
| 15 | 7678000 |
| hex | 50bfe00 |
84672000 has 480 divisors, whose sum is σ = 363860640. Its totient is φ = 19353600.
The previous prime is 84671969. The next prime is 84672001. The reversal of 84672000 is 27648.
84672000 = 853 + 863 + ... + 1403.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (84672001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12095997 + ... + 12096003.
It is an arithmetic number, because the mean of its divisors is an integer number (758043).
Almost surely, 284672000 is an apocalyptic number.
84672000 is a gapful number since it is divisible by the number (80) 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 84672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).
84672000 is an abundant number, since it is smaller than the sum of its proper divisors (279188640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84672000 is an equidigital number, since it uses as much as digits as its factorization.
84672000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 56 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 84672000 is about 9201.7389660868. The cubic root of 84672000 is about 439.1166852028.
Adding to 84672000 its reverse (27648), we get a palindrome (84699648).
The spelling of 84672000 in words is "eighty-four million, six hundred seventy-two thousand".
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