21914980 has 48 divisors (see below), whose sum is σ = 49008960. Its totient is φ = 8208000.

The previous prime is 21914969. The next prime is 21914983. The reversal of 21914980 is 8941912.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (21914983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38095 + ... + 38665.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020).

Almost surely, 2^21914980 is an apocalyptic number.

21914980 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 21914980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504480).

21914980 is an abundant number, since it is smaller than the sum of its proper divisors (27093980).

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

21914980 is a wasteful number, since it uses less digits than its factorization.

21914980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 21914980 is about 4681.3438241599. The cubic root of 21914980 is about 279.8425134788.

The spelling of 21914980 in words is "twenty-one million, nine hundred fourteen thousand, nine hundred eighty".