21420960 has 96 divisors (see below), whose sum is σ = 73628352. Its totient is φ = 5191680.

The previous prime is 21420941. The next prime is 21420967. The reversal of 21420960 is 6902412.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21420960.

It is not an unprimeable number, because it can be changed into a prime (21420967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252 + ... + 7308.

It is an arithmetic number, because the mean of its divisors is an integer number (766962).

Almost surely, 2^21420960 is an apocalyptic number.

21420960 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 21420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36814176).

21420960 is an abundant number, since it is smaller than the sum of its proper divisors (52207392).

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

21420960 is a wasteful number, since it uses less digits than its factorization.

21420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 21420960 is about 4628.2782975962. The cubic root of 21420960 is about 277.7237218665.

The spelling of 21420960 in words is "twenty-one million, four hundred twenty thousand, nine hundred sixty".