22575360 has 72 divisors (see below), whose sum is σ = 72112320. Its totient is φ = 6019072.

The previous prime is 22575359. The next prime is 22575367. The reversal of 22575360 is 6357522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22575367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901 + ... + 6779.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 2^22575360 is an apocalyptic number.

22575360 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 22575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36056160).

22575360 is an abundant number, since it is smaller than the sum of its proper divisors (49536960).

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

22575360 is an equidigital number, since it uses as much as digits as its factorization.

22575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 22575360 is about 4751.3534913749. The cubic root of 22575360 is about 282.6256417658.

The spelling of 22575360 in words is "twenty-two million, five hundred seventy-five thousand, three hundred sixty".