5664000 has 144 divisors (see below), whose sum is σ = 19131840. Its totient is φ = 1484800.

The previous prime is 5663993. The next prime is 5664011. The reversal of 5664000 is 4665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95971 + ... + 96029.

It is an arithmetic number, because the mean of its divisors is an integer number (132860).

Almost surely, 2^5664000 is an apocalyptic number.

5664000 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 5664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565920).

5664000 is an abundant number, since it is smaller than the sum of its proper divisors (13467840).

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

5664000 is an equidigital number, since it uses as much as digits as its factorization.

5664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5664000 is about 2379.9159649030. The cubic root of 5664000 is about 178.2547377384.

Adding to 5664000 its reverse (4665), we get a palindrome (5668665).

The spelling of 5664000 in words is "five million, six hundred sixty-four thousand".