57545600 has 144 divisors (see below), whose sum is σ = 165815280. Its totient is φ = 19676160.

The previous prime is 57545597. The next prime is 57545611. The reversal of 57545600 is 654575.

It is a happy number.

It is a super-2 number, since 2×57545600² = 6622992158720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156617 + ... + 156983.

It is an arithmetic number, because the mean of its divisors is an integer number (1151495).

Almost surely, 2^57545600 is an apocalyptic number.

57545600 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 57545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82907640).

57545600 is an abundant number, since it is smaller than the sum of its proper divisors (108269680).

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

57545600 is a wasteful number, since it uses less digits than its factorization.

57545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 57545600 is about 7585.8816231207. The cubic root of 57545600 is about 386.0741354022.

The spelling of 57545600 in words is "fifty-seven million, five hundred forty-five thousand, six hundred".