4957560 has 96 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1289472.

The previous prime is 4957559. The next prime is 4957583. The reversal of 4957560 is 657594.

4957560 is a `hidden beast` number, since 4 + 95 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16774 + ... + 17066.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 2^4957560 is an apocalyptic number.

4957560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4957560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

4957560 is an abundant number, since it is smaller than the sum of its proper divisors (11553480).

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

4957560 is a wasteful number, since it uses less digits than its factorization.

4957560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 4957560 is about 2226.5578815742. The cubic root of 4957560 is about 170.5124101240.

The spelling of 4957560 in words is "four million, nine hundred fifty-seven thousand, five hundred sixty".