85933968 has 20 divisors (see below), whose sum is σ = 221996208. Its totient is φ = 28644640.

The previous prime is 85933951. The next prime is 85933973. The reversal of 85933968 is 86933958.

It is a self number, because there is not a number n which added to its sum of digits gives 85933968.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 895098 + ... + 895193.

Almost surely, 2^85933968 is an apocalyptic number.

It is an amenable number.

85933968 is an abundant number, since it is smaller than the sum of its proper divisors (136062240).

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

85933968 is a wasteful number, since it uses less digits than its factorization.

85933968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790302 (or 1790296 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 85933968 is about 9270.0576049990. The cubic root of 85933968 is about 441.2874961649.

It can be divided in two parts, 8593 and 3968, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 85933968 in words is "eighty-five million, nine hundred thirty-three thousand, nine hundred sixty-eight".