21188680 has 64 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 8128512.

The previous prime is 21188659. The next prime is 21188693. The reversal of 21188680 is 8688112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166777 + ... + 166903.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 2^21188680 is an apocalyptic number.

21188680 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 21188680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

21188680 is an abundant number, since it is smaller than the sum of its proper divisors (28485560).

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

21188680 is a wasteful number, since it uses less digits than its factorization.

21188680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 21188680 is about 4603.1163357013. The cubic root of 21188680 is about 276.7162311807.

The spelling of 21188680 in words is "twenty-one million, one hundred eighty-eight thousand, six hundred eighty".