57561280 has 84 divisors (see below), whose sum is σ = 159489648. Its totient is φ = 19729920.

The previous prime is 57561277. The next prime is 57561281. The reversal of 57561280 is 8216575.

It is not an unprimeable number, because it can be changed into a prime (57561281) 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 11 ways as a sum of consecutive naturals, for example, 13845 + ... + 17515.

Almost surely, 2^57561280 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 57561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79744824).

57561280 is an abundant number, since it is smaller than the sum of its proper divisors (101928368).

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

57561280 is a wasteful number, since it uses less digits than its factorization.

57561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 57561280 is about 7586.9150515872. The cubic root of 57561280 is about 386.1091979885.

The spelling of 57561280 in words is "fifty-seven million, five hundred sixty-one thousand, two hundred eighty".