85600896 has 32 divisors (see below), whose sum is σ = 227378400. Its totient is φ = 28533504.

The previous prime is 85600877. The next prime is 85600897. The reversal of 85600896 is 69800658.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85600897) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111076 + ... + 111843.

It is an arithmetic number, because the mean of its divisors is an integer number (7105575).

Almost surely, 2^85600896 is an apocalyptic number.

It is an amenable number.

85600896 is an abundant number, since it is smaller than the sum of its proper divisors (141777504).

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

85600896 is a wasteful number, since it uses less digits than its factorization.

85600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222936 (or 222924 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 85600896 is about 9252.0752266721. The cubic root of 85600896 is about 440.7166283365.

The spelling of 85600896 in words is "eighty-five million, six hundred thousand, eight hundred ninety-six".