57323200 has 84 divisors (see below), whose sum is σ = 153920952. Its totient is φ = 20838400.

The previous prime is 57323197. The next prime is 57323237. The reversal of 57323200 is 232375.

It is a happy number.

57323200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15972 + ... + 19228.

Almost surely, 2^57323200 is an apocalyptic number.

57323200 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 57323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76960476).

57323200 is an abundant number, since it is smaller than the sum of its proper divisors (96597752).

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

57323200 is a wasteful number, since it uses less digits than its factorization.

57323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 57323200 is about 7571.2086221422. The cubic root of 57323200 is about 385.5761318537.

Adding to 57323200 its reverse (232375), we get a palindrome (57555575).

The spelling of 57323200 in words is "fifty-seven million, three hundred twenty-three thousand, two hundred".