85288968 has 48 divisors (see below), whose sum is σ = 241038720. Its totient is φ = 27193056.

The previous prime is 85288961. The next prime is 85288981. The reversal of 85288968 is 86988258.

It is not an unprimeable number, because it can be changed into a prime (85288961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24096 + ... + 27407.

It is an arithmetic number, because the mean of its divisors is an integer number (5021640).

Almost surely, 2^85288968 is an apocalyptic number.

It is an amenable number.

85288968 is an abundant number, since it is smaller than the sum of its proper divisors (155749752).

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

85288968 is a wasteful number, since it uses less digits than its factorization.

85288968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51538 (or 51531 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 85288968 is about 9235.2026507273. The cubic root of 85288968 is about 440.1806558435.

The spelling of 85288968 in words is "eighty-five million, two hundred eighty-eight thousand, nine hundred sixty-eight".