22424640 has 224 divisors, whose sum is σ = 84271104. Its totient is φ = 4945920.

The previous prime is 22424639. The next prime is 22424641. The reversal of 22424640 is 4642422.

It is an interprime number because it is at equal distance from previous prime (22424639) and next prime (22424641).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22424640.

It is not an unprimeable number, because it can be changed into a prime (22424641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315805 + ... + 315875.

Almost surely, 2^22424640 is an apocalyptic number.

22424640 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 22424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135552).

22424640 is an abundant number, since it is smaller than the sum of its proper divisors (61846464).

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

22424640 is a wasteful number, since it uses less digits than its factorization.

22424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 22424640 is about 4735.4661861320. The cubic root of 22424640 is about 281.9952717883.

The spelling of 22424640 in words is "twenty-two million, four hundred twenty-four thousand, six hundred forty".