22560720 has 160 divisors (see below), whose sum is σ = 86161152. Its totient is φ = 4755456.

The previous prime is 22560697. The next prime is 22560721. The reversal of 22560720 is 2706522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22560721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21324 + ... + 22356.

Almost surely, 2^22560720 is an apocalyptic number.

22560720 is a gapful number since it is divisible by the number (20) 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 22560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43080576).

22560720 is an abundant number, since it is smaller than the sum of its proper divisors (63600432).

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

22560720 is a wasteful number, since it uses less digits than its factorization.

22560720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 22560720 is about 4749.8126278833. The cubic root of 22560720 is about 282.5645348166.

The spelling of 22560720 in words is "twenty-two million, five hundred sixty thousand, seven hundred twenty".