85984056 has 48 divisors (see below), whose sum is σ = 237837600. Its totient is φ = 28050432.

The previous prime is 85984039. The next prime is 85984061. The reversal of 85984056 is 65048958.

85984056 is a `hidden beast` number, since 8 + 598 + 4 + 0 + 56 = 666.

It is a super-2 number, since 2×85984056² = 14786515772422272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9321 + ... + 16088.

It is an arithmetic number, because the mean of its divisors is an integer number (4954950).

Almost surely, 2^85984056 is an apocalyptic number.

It is an amenable number.

85984056 is an abundant number, since it is smaller than the sum of its proper divisors (151853544).

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

85984056 is a wasteful number, since it uses less digits than its factorization.

85984056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25468 (or 25461 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85984056 is about 9272.7588127806. The cubic root of 85984056 is about 441.3732166920.

The spelling of 85984056 in words is "eighty-five million, nine hundred eighty-four thousand, fifty-six".