21360960 has 84 divisors (see below), whose sum is σ = 73482708. Its totient is φ = 5695488.

The previous prime is 21360943. The next prime is 21360967. The reversal of 21360960 is 6906312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 8573184 = 3576^2 + 2928^2 .

It is a super-2 number, since 2×21360960² = 912581224243200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21360967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 829 + ... + 6588.

Almost surely, 2^21360960 is an apocalyptic number.

21360960 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 21360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36741354).

21360960 is an abundant number, since it is smaller than the sum of its proper divisors (52121748).

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

21360960 is a wasteful number, since it uses less digits than its factorization.

21360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 21360960 is about 4621.7918603070. The cubic root of 21360960 is about 277.4641784781.

The spelling of 21360960 in words is "twenty-one million, three hundred sixty thousand, nine hundred sixty".