22842560 has 168 divisors, whose sum is σ = 65501520. Its totient is φ = 7520256.

The previous prime is 22842557. The next prime is 22842563. The reversal of 22842560 is 6524822.

It is an interprime number because it is at equal distance from previous prime (22842557) and next prime (22842563).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22842563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1202231 + ... + 1202249.

It is an arithmetic number, because the mean of its divisors is an integer number (389890).

Almost surely, 2^22842560 is an apocalyptic number.

22842560 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 22842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32750760).

22842560 is an abundant number, since it is smaller than the sum of its proper divisors (42658960).

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

22842560 is a wasteful number, since it uses less digits than its factorization.

22842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 22842560 is about 4779.3890822991. The cubic root of 22842560 is about 283.7363154598.

The spelling of 22842560 in words is "twenty-two million, eight hundred forty-two thousand, five hundred sixty".