57641560 has 128 divisors (see below), whose sum is σ = 147744000. Its totient is φ = 20127744.

The previous prime is 57641557. The next prime is 57641567. The reversal of 57641560 is 6514675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57641567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729601 + ... + 729679.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^57641560 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 57641560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872000).

57641560 is an abundant number, since it is smaller than the sum of its proper divisors (90102440).

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

57641560 is a wasteful number, since it uses less digits than its factorization.

57641560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 57641560 is about 7592.2038961029. The cubic root of 57641560 is about 386.2886151665.

The spelling of 57641560 in words is "fifty-seven million, six hundred forty-one thousand, five hundred sixty".