57649872 has 120 divisors (see below), whose sum is σ = 175512576. Its totient is φ = 16257024.

The previous prime is 57649859. The next prime is 57649897. The reversal of 57649872 is 27894675.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298608 + ... + 298800.

Almost surely, 2^57649872 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 57649872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87756288).

57649872 is an abundant number, since it is smaller than the sum of its proper divisors (117862704).

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

57649872 is a wasteful number, since it uses less digits than its factorization.

57649872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 57649872 is about 7592.7512800038. The cubic root of 57649872 is about 386.3071820746.

The spelling of 57649872 in words is "fifty-seven million, six hundred forty-nine thousand, eight hundred seventy-two".