21876960 has 192 divisors, whose sum is σ = 83607552. Its totient is φ = 4694016.

The previous prime is 21876947. The next prime is 21876973. The reversal of 21876960 is 6967812.

It is an interprime number because it is at equal distance from previous prime (21876947) and next prime (21876973).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 56929 + ... + 57311.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 2^21876960 is an apocalyptic number.

21876960 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 21876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803776).

21876960 is an abundant number, since it is smaller than the sum of its proper divisors (61730592).

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

21876960 is a wasteful number, since it uses less digits than its factorization.

21876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 21876960 is about 4677.2812615878. The cubic root of 21876960 is about 279.6805881483.

The spelling of 21876960 in words is "twenty-one million, eight hundred seventy-six thousand, nine hundred sixty".