22638080 has 80 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 8773632.

The previous prime is 22638037. The next prime is 22638107. The reversal of 22638080 is 8083622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94601 + ... + 94839.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^22638080 is an apocalyptic number.

22638080 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 22638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

22638080 is an abundant number, since it is smaller than the sum of its proper divisors (33340480).

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

22638080 is an equidigital number, since it uses as much as digits as its factorization.

22638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 22638080 is about 4757.9491380215. The cubic root of 22638080 is about 282.8871346726.

The spelling of 22638080 in words is "twenty-two million, six hundred thirty-eight thousand, eighty".