57537480 has 256 divisors, whose sum is σ = 232243200. Its totient is φ = 11013120.

The previous prime is 57537461. The next prime is 57537481. The reversal of 57537480 is 8473575.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (57537481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119881 + ... + 120359.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^57537480 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 57537480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

57537480 is an abundant number, since it is smaller than the sum of its proper divisors (174705720).

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

57537480 is a wasteful number, since it uses less digits than its factorization.

57537480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 57537480 is about 7585.3463994731. The cubic root of 57537480 is about 386.0559754882.

The spelling of 57537480 in words is "fifty-seven million, five hundred thirty-seven thousand, four hundred eighty".