85974912 has 64 divisors (see below), whose sum is σ = 253755600. Its totient is φ = 28657152.

The previous prime is 85974881. The next prime is 85974913. The reversal of 85974912 is 21947958.

85974912 is a `hidden beast` number, since 8 + 597 + 49 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85974913) 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, 8983 + ... + 15894.

Almost surely, 2^85974912 is an apocalyptic number.

It is an amenable number.

85974912 is an abundant number, since it is smaller than the sum of its proper divisors (167780688).

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

85974912 is a wasteful number, since it uses less digits than its factorization.

85974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24900 (or 24882 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 85974912 is about 9272.2657425249. The cubic root of 85974912 is about 441.3575701487.

The spelling of 85974912 in words is "eighty-five million, nine hundred seventy-four thousand, nine hundred twelve".