5057640 has 160 divisors (see below), whose sum is σ = 19514880. Its totient is φ = 1150848.

The previous prime is 5057639. The next prime is 5057651. The reversal of 5057640 is 467505.

5057640 = T₅₂₀ + T₅₂₁ + ... + T₅₅₄.

5057640 is a `hidden beast` number, since 50 + 576 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22569 + ... + 22791.

It is an arithmetic number, because the mean of its divisors is an integer number (121968).

Almost surely, 2^5057640 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 5057640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757440).

5057640 is an abundant number, since it is smaller than the sum of its proper divisors (14457240).

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

5057640 is a wasteful number, since it uses less digits than its factorization.

5057640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5057640 is about 2248.9197406755. The cubic root of 5057640 is about 171.6521725072.

The spelling of 5057640 in words is "five million, fifty-seven thousand, six hundred forty".