21965360 has 80 divisors (see below), whose sum is σ = 55924992. Its totient is φ = 7987200.

The previous prime is 21965357. The next prime is 21965371. The reversal of 21965360 is 6356912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41900 + ... + 42420.

Almost surely, 2^21965360 is an apocalyptic number.

21965360 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 21965360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27962496).

21965360 is an abundant number, since it is smaller than the sum of its proper divisors (33959632).

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

21965360 is a wasteful number, since it uses less digits than its factorization.

21965360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 21965360 is about 4686.7216687147. The cubic root of 21965360 is about 280.0567912016.

The spelling of 21965360 in words is "twenty-one million, nine hundred sixty-five thousand, three hundred sixty".