21638880 has 96 divisors (see below), whose sum is σ = 75751200. Its totient is φ = 5769216.

The previous prime is 21638873. The next prime is 21638887. The reversal of 21638880 is 8883612.

It is an interprime number because it is at equal distance from previous prime (21638873) and next prime (21638887).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21638880² = 936482255308800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21638887) 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, 1816 + ... + 6824.

It is an arithmetic number, because the mean of its divisors is an integer number (789075).

Almost surely, 2^21638880 is an apocalyptic number.

21638880 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 21638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37875600).

21638880 is an abundant number, since it is smaller than the sum of its proper divisors (54112320).

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

21638880 is a wasteful number, since it uses less digits than its factorization.

21638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5019 counting only the distinct ones).

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

The square root of 21638880 is about 4651.7609568850. The cubic root of 21638880 is about 278.6623270566.

The spelling of 21638880 in words is "twenty-one million, six hundred thirty-eight thousand, eight hundred eighty".