22506624 has 96 divisors (see below), whose sum is σ = 74043840. Its totient is φ = 6428160.

The previous prime is 22506613. The next prime is 22506629. The reversal of 22506624 is 42660522.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22506629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6669 + ... + 9459.

It is an arithmetic number, because the mean of its divisors is an integer number (771290).

Almost surely, 2^22506624 is an apocalyptic number.

22506624 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 22506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37021920).

22506624 is an abundant number, since it is smaller than the sum of its proper divisors (51537216).

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

22506624 is a wasteful number, since it uses less digits than its factorization.

22506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22506624 is about 4744.1146697777. The cubic root of 22506624 is about 282.3385100467.

The spelling of 22506624 in words is "twenty-two million, five hundred six thousand, six hundred twenty-four".