86608625 has 32 divisors (see below), whose sum is σ = 116756640. Its totient is φ = 63897600.

The previous prime is 86608609. The next prime is 86608633. The reversal of 86608625 is 52680668.

It can be written as a sum of positive squares in 16 ways, for example, as 43784689 + 42823936 = 6617^2 + 6544^2 .

It is not a de Polignac number, because 86608625 - 2⁴ = 86608609 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112241 + ... + 113009.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 2^86608625 is an apocalyptic number.

86608625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86608625 is a deficient number, since it is larger than the sum of its proper divisors (30148015).

86608625 is a wasteful number, since it uses less digits than its factorization.

86608625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 86608625 is about 9306.3755028475. The cubic root of 86608625 is about 442.4393183943.

The spelling of 86608625 in words is "eighty-six million, six hundred eight thousand, six hundred twenty-five".