57199264 has 24 divisors (see below), whose sum is σ = 115360308. Its totient is φ = 27901440.

The previous prime is 57199249. The next prime is 57199267. The reversal of 57199264 is 46299175.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37307664 + 19891600 = 6108^2 + 4460^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57199264.

It is not an unprimeable number, because it can be changed into a prime (57199267) 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 3 ways as a sum of consecutive naturals, for example, 20487 + ... + 23110.

Almost surely, 2^57199264 is an apocalyptic number.

It is an amenable number.

57199264 is an abundant number, since it is smaller than the sum of its proper divisors (58161044).

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

57199264 is a wasteful number, since it uses less digits than its factorization.

57199264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43648 (or 43640 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 57199264 is about 7563.0195028176. The cubic root of 57199264 is about 385.2980522156.

The spelling of 57199264 in words is "fifty-seven million, one hundred ninety-nine thousand, two hundred sixty-four".