57234600 has 120 divisors (see below), whose sum is σ = 198840510. Its totient is φ = 15258240.

The previous prime is 57234599. The next prime is 57234601. The reversal of 57234600 is 643275.

It is a happy number.

57234600 is a `hidden beast` number, since 57 + 2 + 3 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (57234599) and next prime (57234601).

It can be written as a sum of positive squares in 3 ways, for example, as 50041476 + 7193124 = 7074^2 + 2682^2 .

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 (27).

It is not an unprimeable number, because it can be changed into a prime (57234601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14434 + ... + 17966.

Almost surely, 2^57234600 is an apocalyptic number.

57234600 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 57234600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99420255).

57234600 is an abundant number, since it is smaller than the sum of its proper divisors (141605910).

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

57234600 is a wasteful number, since it uses less digits than its factorization.

57234600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 57234600 is about 7565.3552461203. The cubic root of 57234600 is about 385.3773777660.

Adding to 57234600 its reverse (643275), we get a palindrome (57877875).

The spelling of 57234600 in words is "fifty-seven million, two hundred thirty-four thousand, six hundred".