5664600 has 96 divisors (see below), whose sum is σ = 19530000. Its totient is φ = 1509120.

The previous prime is 5664563. The next prime is 5664611. The reversal of 5664600 is 64665.

5664600 is a `hidden beast` number, since 56 + 6 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4876 + ... + 5924.

Almost surely, 2^5664600 is an apocalyptic number.

5664600 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 5664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765000).

5664600 is an abundant number, since it is smaller than the sum of its proper divisors (13865400).

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

5664600 is a wasteful number, since it uses less digits than its factorization.

5664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5664600 is about 2380.0420164358. The cubic root of 5664600 is about 178.2610318218.

The spelling of 5664600 in words is "five million, six hundred sixty-four thousand, six hundred".