5604560 has 80 divisors (see below), whose sum is σ = 14905296. Its totient is φ = 1941504.

The previous prime is 5604559. The next prime is 5604589. The reversal of 5604560 is 654065.

It can be written as a sum of positive squares in 8 ways, for example, as 817216 + 4787344 = 904^2 + 2188^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5604560² = 62822185587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 17522 + ... + 17838.

Almost surely, 2^5604560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452648).

5604560 is an abundant number, since it is smaller than the sum of its proper divisors (9300736).

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

5604560 is a wasteful number, since it uses less digits than its factorization.

5604560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

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

The square root of 5604560 is about 2367.3951930339. The cubic root of 5604560 is about 177.6289877744.

The spelling of 5604560 in words is "five million, six hundred four thousand, five hundred sixty".