57107440 has 80 divisors (see below), whose sum is σ = 146428128. Its totient is φ = 20579328.

The previous prime is 57107431. The next prime is 57107461. The reversal of 57107440 is 4470175.

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

It is a super-2 number, since 2×57107440² = 6522519406707200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57107399 and 57107408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44082 + ... + 45358.

Almost surely, 2^57107440 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 57107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73214064).

57107440 is an abundant number, since it is smaller than the sum of its proper divisors (89320688).

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

57107440 is a wasteful number, since it uses less digits than its factorization.

57107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 57107440 is about 7556.9464732787. The cubic root of 57107440 is about 385.0917642623.

The spelling of 57107440 in words is "fifty-seven million, one hundred seven thousand, four hundred forty".