5664400 has 135 divisors (see below), whose sum is σ = 16816539. Its totient is φ = 1827840.

The previous prime is 5664397. The next prime is 5664401. The reversal of 5664400 is 44665.

It is a happy number.

The square root of 5664400 is 2380.

It is a perfect power (a square), and thus also a powerful number.

5664400 is nontrivially palindromic in base 13.

5664400 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 132496 + 5531904 = 364^2 + 2352^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5664401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 333192 + ... + 333208.

Almost surely, 2^5664400 is an apocalyptic number.

5664400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5664400 is the 2380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664400

5664400 is an abundant number, since it is smaller than the sum of its proper divisors (11152139).

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

5664400 is a wasteful number, since it uses less digits than its factorization.

5664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 5664400 is about 178.2589338434.

Multiplying 5664400 by its sum of digits (25), we get a square (141610000 = 11900²).

5664400 divided by its sum of digits (25) gives a square (226576 = 476²).

The spelling of 5664400 in words is "five million, six hundred sixty-four thousand, four hundred".