5756040 has 96 divisors (see below), whose sum is σ = 19094400. Its totient is φ = 1503360.

The previous prime is 5756027. The next prime is 5756059. The reversal of 5756040 is 406575.

5756040 is a `hidden beast` number, since 57 + 5 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5755995 and 5756013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21105 + ... + 21375.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 2^5756040 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 5756040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

5756040 is an abundant number, since it is smaller than the sum of its proper divisors (13338360).

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

5756040 is a wasteful number, since it uses less digits than its factorization.

5756040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

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

The square root of 5756040 is about 2399.1748581544. The cubic root of 5756040 is about 179.2151009011.

It can be divided in two parts, 57560 and 40, that added together give a square (57600 = 240²).

The spelling of 5756040 in words is "five million, seven hundred fifty-six thousand, forty".