22632480 has 288 divisors, whose sum is σ = 88542720. Its totient is φ = 5391360.

The previous prime is 22632479. The next prime is 22632481. The reversal of 22632480 is 8423622.

22632480 is a `hidden beast` number, since 22 + 632 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22632479) and next prime (22632481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22632481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730065 + ... + 730095.

It is an arithmetic number, because the mean of its divisors is an integer number (307440).

Almost surely, 2^22632480 is an apocalyptic number.

22632480 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 22632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44271360).

22632480 is an abundant number, since it is smaller than the sum of its proper divisors (65910240).

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

22632480 is a wasteful number, since it uses less digits than its factorization.

22632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22632480 is about 4757.3606127768. The cubic root of 22632480 is about 282.8638067432.

The spelling of 22632480 in words is "twenty-two million, six hundred thirty-two thousand, four hundred eighty".