5625360 has 120 divisors (see below), whose sum is σ = 20378904. Its totient is φ = 1382400.

The previous prime is 5625341. The next prime is 5625407. The reversal of 5625360 is 635265.

5625360 is a `hidden beast` number, since 5 + 625 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 5089536 = 732^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9060 + ... + 9660.

Almost surely, 2^5625360 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 5625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189452).

5625360 is an abundant number, since it is smaller than the sum of its proper divisors (14753544).

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

5625360 is a wasteful number, since it uses less digits than its factorization.

5625360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5625360 is about 2371.7841385759. The cubic root of 5625360 is about 177.8484591631.

The spelling of 5625360 in words is "five million, six hundred twenty-five thousand, three hundred sixty".