21332960 has 192 divisors, whose sum is σ = 62705664. Its totient is φ = 6758400.

The previous prime is 21332959. The next prime is 21332963. The reversal of 21332960 is 6923312.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688145 + ... + 688175.

It is an arithmetic number, because the mean of its divisors is an integer number (326592).

Almost surely, 2^21332960 is an apocalyptic number.

21332960 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 21332960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832).

21332960 is an abundant number, since it is smaller than the sum of its proper divisors (41372704).

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

21332960 is a wasteful number, since it uses less digits than its factorization.

21332960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 21332960 is about 4618.7617388213. The cubic root of 21332960 is about 277.3428918878.

The spelling of 21332960 in words is "twenty-one million, three hundred thirty-two thousand, nine hundred sixty".