85857024 has 72 divisors (see below), whose sum is σ = 249302592. Its totient is φ = 26014720.

The previous prime is 85857019. The next prime is 85857049. The reversal of 85857024 is 42075858.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3367 + ... + 13529.

It is an arithmetic number, because the mean of its divisors is an integer number (3462536).

Almost surely, 2^85857024 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 85857024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124651296).

85857024 is an abundant number, since it is smaller than the sum of its proper divisors (163445568).

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

85857024 is a wasteful number, since it uses less digits than its factorization.

85857024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 85857024 is about 9265.9065395675. The cubic root of 85857024 is about 441.1557494101.

The spelling of 85857024 in words is "eighty-five million, eight hundred fifty-seven thousand, twenty-four".