57110640 has 160 divisors (see below), whose sum is σ = 185988096. Its totient is φ = 14484480.

The previous prime is 57110623. The next prime is 57110653. The reversal of 57110640 is 4601175.

57110640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57110640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688039 + ... + 688121.

Almost surely, 2^57110640 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 57110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

57110640 is an abundant number, since it is smaller than the sum of its proper divisors (128877456).

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

57110640 is a wasteful number, since it uses less digits than its factorization.

57110640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 57110640 is about 7557.1581960417. The cubic root of 57110640 is about 385.0989569657.

It can be divided in two parts, 571 and 10640, that added together give a palindrome (11211).

The spelling of 57110640 in words is "fifty-seven million, one hundred ten thousand, six hundred forty".