57533080 has 48 divisors (see below), whose sum is σ = 142299360. Its totient is φ = 20919360.

The previous prime is 57533057. The next prime is 57533081. The reversal of 57533080 is 8033575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57533081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 10783.

It is an arithmetic number, because the mean of its divisors is an integer number (2964570).

Almost surely, 2^57533080 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 57533080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71149680).

57533080 is an abundant number, since it is smaller than the sum of its proper divisors (84766280).

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

57533080 is a wasteful number, since it uses less digits than its factorization.

57533080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 57533080 is about 7585.0563610299. The cubic root of 57533080 is about 386.0461344269.

The spelling of 57533080 in words is "fifty-seven million, five hundred thirty-three thousand, eighty".