22666560 has 112 divisors (see below), whose sum is σ = 82271616. Its totient is φ = 5179392.

The previous prime is 22666541. The next prime is 22666571. The reversal of 22666560 is 6566622.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 5034 + ... + 8406.

It is an arithmetic number, because the mean of its divisors is an integer number (734568).

Almost surely, 2^22666560 is an apocalyptic number.

22666560 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 22666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41135808).

22666560 is an abundant number, since it is smaller than the sum of its proper divisors (59605056).

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

22666560 is a wasteful number, since it uses less digits than its factorization.

22666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 22666560 is about 4760.9410834414. The cubic root of 22666560 is about 283.0057143606.

The spelling of 22666560 in words is "twenty-two million, six hundred sixty-six thousand, five hundred sixty".