57530880 has 240 divisors, whose sum is σ = 218316384. Its totient is φ = 13885440.

The previous prime is 57530857. The next prime is 57530887. The reversal of 57530880 is 8803575.

It is a happy number.

57530880 is a `hidden beast` number, since 575 + 3 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (57530887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253327 + ... + 253553.

Almost surely, 2^57530880 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 57530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109158192).

57530880 is an abundant number, since it is smaller than the sum of its proper divisors (160785504).

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

57530880 is a wasteful number, since it uses less digits than its factorization.

57530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57530880 is about 7584.9113376492. The cubic root of 57530880 is about 386.0412137082.

The spelling of 57530880 in words is "fifty-seven million, five hundred thirty thousand, eight hundred eighty".