21885960 has 64 divisors (see below), whose sum is σ = 65998080. Its totient is φ = 5806080.

The previous prime is 21885959. The next prime is 21885961. The reversal of 21885960 is 6958812.

It is an interprime number because it is at equal distance from previous prime (21885959) and next prime (21885961).

It is not an unprimeable number, because it can be changed into a prime (21885961) by changing a digit.

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, 32184 + ... + 32856.

It is an arithmetic number, because the mean of its divisors is an integer number (1031220).

Almost surely, 2^21885960 is an apocalyptic number.

21885960 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 21885960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32999040).

21885960 is an abundant number, since it is smaller than the sum of its proper divisors (44112120).

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

21885960 is a wasteful number, since it uses less digits than its factorization.

21885960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 21885960 is about 4678.2432600283. The cubic root of 21885960 is about 279.7189356487.

The spelling of 21885960 in words is "twenty-one million, eight hundred eighty-five thousand, nine hundred sixty".