57614880 has 96 divisors (see below), whose sum is σ = 187790400. Its totient is φ = 14830592.

The previous prime is 57614863. The next prime is 57614891. The reversal of 57614880 is 8841675.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11851 + ... + 15989.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 2^57614880 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 57614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93895200).

57614880 is an abundant number, since it is smaller than the sum of its proper divisors (130175520).

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

57614880 is a wasteful number, since it uses less digits than its factorization.

57614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 57614880 is about 7590.4466271755. The cubic root of 57614880 is about 386.2290067244.

The spelling of 57614880 in words is "fifty-seven million, six hundred fourteen thousand, eight hundred eighty".