57364200 has 120 divisors (see below), whose sum is σ = 199290630. Its totient is φ = 15292800.

The previous prime is 57364187. The next prime is 57364201. The reversal of 57364200 is 246375.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 40373316 + 16990884 = 6354^2 + 4122^2 .

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 (57364201) 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, 14430 + ... + 17970.

Almost surely, 2^57364200 is an apocalyptic number.

57364200 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 57364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99645315).

57364200 is an abundant number, since it is smaller than the sum of its proper divisors (141926430).

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

57364200 is a wasteful number, since it uses less digits than its factorization.

57364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3551 counting only the distinct ones).

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

The square root of 57364200 is about 7573.9157639889. The cubic root of 57364200 is about 385.6680367828.

The spelling of 57364200 in words is "fifty-seven million, three hundred sixty-four thousand, two hundred".