22488960 has 256 divisors, whose sum is σ = 83280960. Its totient is φ = 5111808.

The previous prime is 22488953. The next prime is 22488967. The reversal of 22488960 is 6988422.

It is an interprime number because it is at equal distance from previous prime (22488953) and next prime (22488967).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22488967) 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, 424294 + ... + 424346.

Almost surely, 2^22488960 is an apocalyptic number.

22488960 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 22488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41640480).

22488960 is an abundant number, since it is smaller than the sum of its proper divisors (60792000).

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

22488960 is a wasteful number, since it uses less digits than its factorization.

22488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 22488960 is about 4742.2526292892. The cubic root of 22488960 is about 282.2646276092.

The spelling of 22488960 in words is "twenty-two million, four hundred eighty-eight thousand, nine hundred sixty".