22800960 has 448 divisors, whose sum is σ = 102412800. Its totient is φ = 4644864.

The previous prime is 22800959. The next prime is 22800979. The reversal of 22800960 is 6900822.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786226 + ... + 786254.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^22800960 is an apocalyptic number.

22800960 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 22800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

22800960 is an abundant number, since it is smaller than the sum of its proper divisors (79611840).

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

22800960 is a wasteful number, since it uses less digits than its factorization.

22800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22800960 is about 4775.0350784052. The cubic root of 22800960 is about 283.5639675370.

The spelling of 22800960 in words is "twenty-two million, eight hundred thousand, nine hundred sixty".