5755600 has 30 divisors (see below), whose sum is σ = 13828790. Its totient is φ = 2302080.

The previous prime is 5755583. The next prime is 5755649. The reversal of 5755600 is 65575.

It can be written as a sum of positive squares in 3 ways, for example, as 110224 + 5645376 = 332^2 + 2376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6795 + ... + 7594.

Almost surely, 2^5755600 is an apocalyptic number.

5755600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5755600 is an abundant number, since it is smaller than the sum of its proper divisors (8073190).

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

5755600 is a wasteful number, since it uses less digits than its factorization.

5755600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14407 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 5755600 is about 2399.0831582086. The cubic root of 5755600 is about 179.2105342978.

The spelling of 5755600 in words is "five million, seven hundred fifty-five thousand, six hundred".