5605664 has 24 divisors (see below), whose sum is σ = 11093040. Its totient is φ = 2788416.

The previous prime is 5605661. The next prime is 5605667. The reversal of 5605664 is 4665065.

5605664 = T₄₀ + T₄₁ + ... + T₃₂₂.

It is an interprime number because it is at equal distance from previous prime (5605661) and next prime (5605667).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5605664.

It is not an unprimeable number, because it can be changed into a prime (5605661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8747 + ... + 9365.

It is an arithmetic number, because the mean of its divisors is an integer number (462210).

Almost surely, 2^5605664 is an apocalyptic number.

It is an amenable number.

5605664 is a deficient number, since it is larger than the sum of its proper divisors (5487376).

5605664 is a wasteful number, since it uses less digits than its factorization.

5605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5605664 is about 2367.6283492136. The cubic root of 5605664 is about 177.6406502735.

The spelling of 5605664 in words is "five million, six hundred five thousand, six hundred sixty-four".