5642560 has 112 divisors (see below), whose sum is σ = 16824960. Its totient is φ = 1751040.

The previous prime is 5642531. The next prime is 5642591. The reversal of 5642560 is 652465.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 24526 + ... + 24754.

Almost surely, 2^5642560 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 5642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412480).

5642560 is an abundant number, since it is smaller than the sum of its proper divisors (11182400).

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

5642560 is a wasteful number, since it uses less digits than its factorization.

5642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5642560 is about 2375.4073334904. The cubic root of 5642560 is about 178.0295368230.

The spelling of 5642560 in words is "five million, six hundred forty-two thousand, five hundred sixty".