57953680 has 80 divisors (see below), whose sum is σ = 146133504. Its totient is φ = 21288960.

The previous prime is 57953677. The next prime is 57953681. The reversal of 57953680 is 8635975.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (57953681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57985 + ... + 58975.

Almost surely, 2^57953680 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 57953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73066752).

57953680 is an abundant number, since it is smaller than the sum of its proper divisors (88179824).

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

57953680 is a wasteful number, since it uses less digits than its factorization.

57953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 57953680 is about 7612.7314414736. The cubic root of 57953680 is about 386.9845912135.

The spelling of 57953680 in words is "fifty-seven million, nine hundred fifty-three thousand, six hundred eighty".