85664928 has 48 divisors (see below), whose sum is σ = 225360576. Its totient is φ = 28492800.

The previous prime is 85664899. The next prime is 85664951. The reversal of 85664928 is 82946658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70728 + ... + 71928.

It is an arithmetic number, because the mean of its divisors is an integer number (4695012).

Almost surely, 2^85664928 is an apocalyptic number.

It is an amenable number.

85664928 is an abundant number, since it is smaller than the sum of its proper divisors (139695648).

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

85664928 is a wasteful number, since it uses less digits than its factorization.

85664928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

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

The square root of 85664928 is about 9255.5349926409. The cubic root of 85664928 is about 440.8264906352.

The spelling of 85664928 in words is "eighty-five million, six hundred sixty-four thousand, nine hundred twenty-eight".