22464624 has 160 divisors (see below), whose sum is σ = 73884160. Its totient is φ = 5723136.

The previous prime is 22464623. The next prime is 22464641. The reversal of 22464624 is 42646422.

It is a super-2 number, since 2×22464624² = 1009318662922752, which contains 22 as substring.

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 = 22464591 and 22464600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22464623) 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 31 ways as a sum of consecutive naturals, for example, 161547 + ... + 161685.

It is an arithmetic number, because the mean of its divisors is an integer number (461776).

Almost surely, 2^22464624 is an apocalyptic number.

22464624 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 22464624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36942080).

22464624 is an abundant number, since it is smaller than the sum of its proper divisors (51419536).

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

22464624 is a wasteful number, since it uses less digits than its factorization.

22464624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 22464624 is about 4739.6860655533. The cubic root of 22464624 is about 282.1627750964.

It can be divided in two parts, 22464 and 624, that multiplied together give a square (14017536 = 3744²).

The spelling of 22464624 in words is "twenty-two million, four hundred sixty-four thousand, six hundred twenty-four".