57145680 has 120 divisors (see below), whose sum is σ = 193633440. Its totient is φ = 15102720.

The previous prime is 57145657. The next prime is 57145703. The reversal of 57145680 is 8654175.

57145680 is a `hidden beast` number, since 571 + 4 + 5 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (57145657) and next prime (57145703).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 99795 + ... + 100365.

It is an arithmetic number, because the mean of its divisors is an integer number (1613612).

Almost surely, 2^57145680 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 57145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96816720).

57145680 is an abundant number, since it is smaller than the sum of its proper divisors (136487760).

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

57145680 is a wasteful number, since it uses less digits than its factorization.

57145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57145680 is about 7559.4761723283. The cubic root of 57145680 is about 385.1776994947.

It can be divided in two parts, 571456 and 80, that added together give a square (571536 = 756²).

The spelling of 57145680 in words is "fifty-seven million, one hundred forty-five thousand, six hundred eighty".