22638624 has 48 divisors (see below), whose sum is σ = 62016192. Its totient is φ = 7217408.

The previous prime is 22638617. The next prime is 22638643. The reversal of 22638624 is 42683622.

22638624 = 1582² + 1583² + ... + 1590².

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22638624² = 1025014593226752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 2919 + ... + 7334.

It is an arithmetic number, because the mean of its divisors is an integer number (1292004).

Almost surely, 2^22638624 is an apocalyptic number.

22638624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22638624 is an abundant number, since it is smaller than the sum of its proper divisors (39377568).

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

22638624 is a wasteful number, since it uses less digits than its factorization.

22638624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10281 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 22638624 is about 4758.0063051661. The cubic root of 22638624 is about 282.8894006093.

The spelling of 22638624 in words is "twenty-two million, six hundred thirty-eight thousand, six hundred twenty-four".