21112960 has 64 divisors (see below), whose sum is σ = 55080000. Its totient is φ = 7674880.

The previous prime is 21112951. The next prime is 21112961. The reversal of 21112960 is 6921112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21112961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5541 + ... + 8539.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 2^21112960 is an apocalyptic number.

21112960 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 21112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540000).

21112960 is an abundant number, since it is smaller than the sum of its proper divisors (33967040).

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

21112960 is a wasteful number, since it uses less digits than its factorization.

21112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 21112960 is about 4594.8841117051. The cubic root of 21112960 is about 276.3862127951.

The spelling of 21112960 in words is "twenty-one million, one hundred twelve thousand, nine hundred sixty".