85057920 has 96 divisors (see below), whose sum is σ = 293735520. Its totient is φ = 22680576.

The previous prime is 85057901. The next prime is 85057937. The reversal of 85057920 is 2975058.

85057920 is a `hidden beast` number, since 85 + 0 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1624 + ... + 13143.

It is an arithmetic number, because the mean of its divisors is an integer number (3059745).

Almost surely, 2^85057920 is an apocalyptic number.

85057920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146867760).

85057920 is an abundant number, since it is smaller than the sum of its proper divisors (208677600).

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

85057920 is a wasteful number, since it uses less digits than its factorization.

85057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14792 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 85057920 is about 9222.6850753997. The cubic root of 85057920 is about 439.7828129228.

The spelling of 85057920 in words is "eighty-five million, fifty-seven thousand, nine hundred twenty".