57530600 has 48 divisors (see below), whose sum is σ = 134589600. Its totient is φ = 22869440.

The previous prime is 57530591. The next prime is 57530611. The reversal of 57530600 is 603575.

It is a self number, because there is not a number n which added to its sum of digits gives 57530600.

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, 34997 + ... + 36603.

It is an arithmetic number, because the mean of its divisors is an integer number (2803950).

Almost surely, 2^57530600 is an apocalyptic number.

57530600 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 57530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67294800).

57530600 is an abundant number, since it is smaller than the sum of its proper divisors (77059000).

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

57530600 is a wasteful number, since it uses less digits than its factorization.

57530600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 57530600 is about 7584.8928799292. The cubic root of 57530600 is about 386.0405874259.

Subtracting from 57530600 its reverse (603575), we obtain a square (56927025 = 7545²).

The spelling of 57530600 in words is "fifty-seven million, five hundred thirty thousand, six hundred".