22401624 has 96 divisors (see below), whose sum is σ = 66813120. Its totient is φ = 6237504.

The previous prime is 22401619. The next prime is 22401647. The reversal of 22401624 is 42610422.

22401624 = 652² + 653² + ... + 700².

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22401624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50347 + ... + 50789.

It is an arithmetic number, because the mean of its divisors is an integer number (695970).

Almost surely, 2^22401624 is an apocalyptic number.

22401624 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 22401624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33406560).

22401624 is an abundant number, since it is smaller than the sum of its proper divisors (44411496).

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

22401624 is a wasteful number, since it uses less digits than its factorization.

22401624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22401624 is about 4733.0353896839. The cubic root of 22401624 is about 281.8987615067.

The spelling of 22401624 in words is "twenty-two million, four hundred one thousand, six hundred twenty-four".