21614880 has 144 divisors (see below), whose sum is σ = 79289280. Its totient is φ = 4935168.

The previous prime is 21614867. The next prime is 21614881. The reversal of 21614880 is 8841612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21614881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23061 + ... + 23979.

It is an arithmetic number, because the mean of its divisors is an integer number (550620).

Almost surely, 2^21614880 is an apocalyptic number.

21614880 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 21614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39644640).

21614880 is an abundant number, since it is smaller than the sum of its proper divisors (57674400).

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

21614880 is a wasteful number, since it uses less digits than its factorization.

21614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 21614880 is about 4649.1805729612. The cubic root of 21614880 is about 278.5592661169.

The spelling of 21614880 in words is "twenty-one million, six hundred fourteen thousand, eight hundred eighty".