22610560 has 128 divisors (see below), whose sum is σ = 63648000. Its totient is φ = 7676928.

The previous prime is 22610537. The next prime is 22610569. The reversal of 22610560 is 6501622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22610560² = 1022474847027200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22610569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219469 + ... + 219571.

It is an arithmetic number, because the mean of its divisors is an integer number (497250).

Almost surely, 2^22610560 is an apocalyptic number.

22610560 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 22610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

22610560 is an abundant number, since it is smaller than the sum of its proper divisors (41037440).

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

22610560 is an equidigital number, since it uses as much as digits as its factorization.

22610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 22610560 is about 4755.0562562392. The cubic root of 22610560 is about 282.7724575340.

The spelling of 22610560 in words is "twenty-two million, six hundred ten thousand, five hundred sixty".