22758960 has 320 divisors, whose sum is σ = 91422720. Its totient is φ = 4561920.

The previous prime is 22758949. The next prime is 22758973. The reversal of 22758960 is 6985722.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 734145 + ... + 734175.

It is an arithmetic number, because the mean of its divisors is an integer number (285696).

Almost surely, 2^22758960 is an apocalyptic number.

22758960 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 22758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45711360).

22758960 is an abundant number, since it is smaller than the sum of its proper divisors (68663760).

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

22758960 is a wasteful number, since it uses less digits than its factorization.

22758960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 22758960 is about 4770.6351778353. The cubic root of 22758960 is about 283.3897496271.

The spelling of 22758960 in words is "twenty-two million, seven hundred fifty-eight thousand, nine hundred sixty".