22464640 has 64 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 8166400.

The previous prime is 22464623. The next prime is 22464641. The reversal of 22464640 is 4646422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22464599 and 22464608.

It is not an unprimeable number, because it can be changed into a prime (22464641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5445 + ... + 8635.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^22464640 is an apocalyptic number.

22464640 is a gapful number since it is divisible by the number (20) 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 22464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

22464640 is an abundant number, since it is smaller than the sum of its proper divisors (36140480).

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

22464640 is a wasteful number, since it uses less digits than its factorization.

22464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 22464640 is about 4739.6877534285. The cubic root of 22464640 is about 282.1628420847.

It can be divided in two parts, 22464 and 640, that added together give a square (23104 = 152²).

The spelling of 22464640 in words is "twenty-two million, four hundred sixty-four thousand, six hundred forty".