85978944 has 42 divisors (see below), whose sum is σ = 246444770. Its totient is φ = 28659456.

The previous prime is 85978831. The next prime is 85978961. The reversal of 85978944 is 44987958.

85978944 is a `hidden beast` number, since 8 + 597 + 8 + 9 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 10497600 = 8688^2 + 3240^2 .

It is a super-2 number, since 2×85978944² = 14784757622710272, 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 5 ways as a sum of consecutive naturals, for example, 74059 + ... + 75210.

Almost surely, 2^85978944 is an apocalyptic number.

It is an amenable number.

85978944 is an abundant number, since it is smaller than the sum of its proper divisors (160465826).

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

85978944 is a wasteful number, since it uses less digits than its factorization.

85978944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149287 (or 149274 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 85978944 is about 9272.4831625622. The cubic root of 85978944 is about 441.3644695486.

The spelling of 85978944 in words is "eighty-five million, nine hundred seventy-eight thousand, nine hundred forty-four".