85937152 has 88 divisors (see below), whose sum is σ = 206992640. Its totient is φ = 34836480.

The previous prime is 85937149. The next prime is 85937207. The reversal of 85937152 is 25173958.

It is a super-2 number, since 2×85937152² = 14770388187742208, which contains 22 as substring.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135877 + ... + 136507.

Almost surely, 2^85937152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103496320).

85937152 is an abundant number, since it is smaller than the sum of its proper divisors (121055488).

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

85937152 is a wasteful number, since it uses less digits than its factorization.

85937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 85937152 is about 9270.2293391264. The cubic root of 85937152 is about 441.2929462489.

The spelling of 85937152 in words is "eighty-five million, nine hundred thirty-seven thousand, one hundred fifty-two".