22860960 has 96 divisors (see below), whose sum is σ = 72902592. Its totient is φ = 6021120.

The previous prime is 22860949. The next prime is 22860973. The reversal of 22860960 is 6906822.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 46315 + ... + 46805.

It is an arithmetic number, because the mean of its divisors is an integer number (759402).

Almost surely, 2^22860960 is an apocalyptic number.

22860960 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 22860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36451296).

22860960 is an abundant number, since it is smaller than the sum of its proper divisors (50041632).

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

22860960 is a wasteful number, since it uses less digits than its factorization.

22860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 22860960 is about 4781.3136270276. The cubic root of 22860960 is about 283.8124795301.

The spelling of 22860960 in words is "twenty-two million, eight hundred sixty thousand, nine hundred sixty".