57553860 has 192 divisors, whose sum is σ = 202309632. Its totient is φ = 11902464.

The previous prime is 57553841. The next prime is 57553861. The reversal of 57553860 is 6835575.

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 (57553861) 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, 453117 + ... + 453243.

It is an arithmetic number, because the mean of its divisors is an integer number (1053696).

Almost surely, 2^57553860 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 57553860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101154816).

57553860 is an abundant number, since it is smaller than the sum of its proper divisors (144755772).

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

57553860 is a wasteful number, since it uses less digits than its factorization.

57553860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 57553860 is about 7586.4260360199. The cubic root of 57553860 is about 386.0926066655.

The spelling of 57553860 in words is "fifty-seven million, five hundred fifty-three thousand, eight hundred sixty".