86925600 has 108 divisors (see below), whose sum is σ = 306546786. Its totient is φ = 23178240.

The previous prime is 86925577. The next prime is 86925611. The reversal of 86925600 is 652968.

86925600 is a `hidden beast` number, since 8 + 6 + 92 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37307664 + 49617936 = 6108^2 + 7044^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1164 + ... + 13236.

Almost surely, 2^86925600 is an apocalyptic number.

86925600 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 86925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153273393).

86925600 is an abundant number, since it is smaller than the sum of its proper divisors (219621186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86925600 is a wasteful number, since it uses less digits than its factorization.

86925600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12099 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86925600 is about 9323.3899414322. The cubic root of 86925600 is about 442.9784158235.

The spelling of 86925600 in words is "eighty-six million, nine hundred twenty-five thousand, six hundred".