57235600 has 120 divisors (see below), whose sum is σ = 153606240. Its totient is φ = 20367360.

The previous prime is 57235547. The next prime is 57235609. The reversal of 57235600 is 653275.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57235609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 128979 + ... + 129421.

It is an arithmetic number, because the mean of its divisors is an integer number (1280052).

Almost surely, 2^57235600 is an apocalyptic number.

57235600 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 57235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76803120).

57235600 is an abundant number, since it is smaller than the sum of its proper divisors (96370640).

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

57235600 is a wasteful number, since it uses less digits than its factorization.

57235600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 57235600 is about 7565.4213365813. The cubic root of 57235600 is about 385.3796221842.

Adding to 57235600 its reverse (653275), we get a palindrome (57888875).

The spelling of 57235600 in words is "fifty-seven million, two hundred thirty-five thousand, six hundred".