22842624 has 108 divisors (see below), whose sum is σ = 70836864. Its totient is φ = 6515712.

The previous prime is 22842583. The next prime is 22842637. The reversal of 22842624 is 42624822.

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

It is a junction number, because it is equal to n+sod(n) for n = 22842591 and 22842600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37329 + ... + 37935.

Almost surely, 2^22842624 is an apocalyptic number.

22842624 is a gapful number since it is divisible by the number (24) 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 22842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35418432).

22842624 is an abundant number, since it is smaller than the sum of its proper divisors (47994240).

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

22842624 is an equidigital number, since it uses as much as digits as its factorization.

22842624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 619 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 22842624 is about 4779.3957777108. The cubic root of 22842624 is about 283.7365804491.

The spelling of 22842624 in words is "twenty-two million, eight hundred forty-two thousand, six hundred twenty-four".