57561600 has 120 divisors (see below), whose sum is σ = 190278000. Its totient is φ = 15339520.

The previous prime is 57561599. The next prime is 57561601. The reversal of 57561600 is 616575.

It is an interprime number because it is at equal distance from previous prime (57561599) and next prime (57561601).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (57561601) 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, 37651 + ... + 39149.

It is an arithmetic number, because the mean of its divisors is an integer number (1585650).

Almost surely, 2^57561600 is an apocalyptic number.

57561600 is a gapful number since it is divisible by the number (50) 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 57561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95139000).

57561600 is an abundant number, since it is smaller than the sum of its proper divisors (132716400).

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

57561600 is a wasteful number, since it uses less digits than its factorization.

57561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 57561600 is about 7586.9361404984. The cubic root of 57561600 is about 386.1099134852.

The spelling of 57561600 in words is "fifty-seven million, five hundred sixty-one thousand, six hundred".