5656400 has 60 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 2221440.

The previous prime is 5656397. The next prime is 5656411. The reversal of 5656400 is 46565.

It is a self number, because there is not a number n which added to its sum of digits gives 5656400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 31511 + ... + 31689.

It is an arithmetic number, because the mean of its divisors is an integer number (230640).

Almost surely, 2^5656400 is an apocalyptic number.

5656400 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 5656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

5656400 is an abundant number, since it is smaller than the sum of its proper divisors (8182000).

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

5656400 is a wasteful number, since it uses less digits than its factorization.

5656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 5656400 is about 2378.3187338959. The cubic root of 5656400 is about 178.1749741796.

The spelling of 5656400 in words is "five million, six hundred fifty-six thousand, four hundred".