85624896 has 56 divisors (see below), whose sum is σ = 258917440. Its totient is φ = 24463872.

The previous prime is 85624879. The next prime is 85624897. The reversal of 85624896 is 69842658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85624897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30511 + ... + 33198.

Almost surely, 2^85624896 is an apocalyptic number.

It is an amenable number.

85624896 is an abundant number, since it is smaller than the sum of its proper divisors (173292544).

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

85624896 is a wasteful number, since it uses less digits than its factorization.

85624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63731 (or 63721 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 85624896 is about 9253.3721420896. The cubic root of 85624896 is about 440.7578125266.

It can be divided in two parts, 856 and 24896, that added together give a palindrome (25752).

The spelling of 85624896 in words is "eighty-five million, six hundred twenty-four thousand, eight hundred ninety-six".