21883680 has 288 divisors, whose sum is σ = 92461824. Its totient is φ = 4589568.

The previous prime is 21883679. The next prime is 21883699. The reversal of 21883680 is 8638812.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130957 + ... + 131123.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 2^21883680 is an apocalyptic number.

21883680 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 21883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

21883680 is an abundant number, since it is smaller than the sum of its proper divisors (70578144).

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

21883680 is a wasteful number, since it uses less digits than its factorization.

21883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 21883680 is about 4677.9995724668. Note that the first 3 decimals coincide. The cubic root of 21883680 is about 279.7092219431.

The spelling of 21883680 in words is "twenty-one million, eight hundred eighty-three thousand, six hundred eighty".