5657600 has 132 divisors (see below), whose sum is σ = 15991164. Its totient is φ = 1966080.

The previous prime is 5657599. The next prime is 5657623. The reversal of 5657600 is 67565.

It can be written as a sum of positive squares in 6 ways, for example, as 200704 + 5456896 = 448^2 + 2336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332792 + ... + 332808.

Almost surely, 2^5657600 is an apocalyptic number.

5657600 is a gapful number since it is divisible by the number (50) 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 5657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995582).

5657600 is an abundant number, since it is smaller than the sum of its proper divisors (10333564).

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

5657600 is a wasteful number, since it uses less digits than its factorization.

5657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 5657600 is about 2378.5709995710. The cubic root of 5657600 is about 178.1875731737.

The spelling of 5657600 in words is "five million, six hundred fifty-seven thousand, six hundred".