57562240 has 64 divisors (see below), whose sum is σ = 140288760. Its totient is φ = 22577152.

The previous prime is 57562231. The next prime is 57562247. The reversal of 57562240 is 4226575.

It can be written as a sum of positive squares in 4 ways, for example, as 57395776 + 166464 = 7576^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×57562240² = 6626822947635200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57562247) 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 7 ways as a sum of consecutive naturals, for example, 33072 + ... + 34768.

Almost surely, 2^57562240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70144380).

57562240 is an abundant number, since it is smaller than the sum of its proper divisors (82726520).

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

57562240 is a wasteful number, since it uses less digits than its factorization.

57562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 57562240 is about 7586.9783181448. The cubic root of 57562240 is about 386.1113444706. Note that the first 3 decimals are identical.

The spelling of 57562240 in words is "fifty-seven million, five hundred sixty-two thousand, two hundred forty".