21967560 has 96 divisors (see below), whose sum is σ = 72072000. Its totient is φ = 5802624.

The previous prime is 21967549. The next prime is 21967579. The reversal of 21967560 is 6576912.

21967560 is a `hidden beast` number, since 2 + 1 + 96 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49821 + ... + 50259.

It is an arithmetic number, because the mean of its divisors is an integer number (750750).

Almost surely, 2^21967560 is an apocalyptic number.

21967560 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 21967560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36036000).

21967560 is an abundant number, since it is smaller than the sum of its proper divisors (50104440).

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

21967560 is a wasteful number, since it uses less digits than its factorization.

21967560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 21967560 is about 4686.9563684762. The cubic root of 21967560 is about 280.0661408377.

The spelling of 21967560 in words is "twenty-one million, nine hundred sixty-seven thousand, five hundred sixty".