5757600 has 72 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1534720.

The previous prime is 5757593. The next prime is 5757617. The reversal of 5757600 is 67575.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^5757600 is an apocalyptic number.

5757600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 2399×2400.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5757600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5757600 is an abundant number, since it is smaller than the sum of its proper divisors (12991200).

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

5757600 is a wasteful number, since it uses less digits than its factorization.

5757600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 5757600 is about 2399.4999479058. The cubic root of 5757600 is about 179.2312897106.

The spelling of 5757600 in words is "five million, seven hundred fifty-seven thousand, six hundred".