21638112 has 48 divisors (see below), whose sum is σ = 59794560. Its totient is φ = 6832512.

The previous prime is 21638069. The next prime is 21638117. The reversal of 21638112 is 21183612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21638117) 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 7 ways as a sum of consecutive naturals, for example, 4108 + ... + 7755.

It is an arithmetic number, because the mean of its divisors is an integer number (1245720).

Almost surely, 2^21638112 is an apocalyptic number.

It is an amenable number.

21638112 is an abundant number, since it is smaller than the sum of its proper divisors (38156448).

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

21638112 is a wasteful number, since it uses less digits than its factorization.

21638112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11887 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 21638112 is about 4651.6784067689. The cubic root of 21638112 is about 278.6590302871.

The spelling of 21638112 in words is "twenty-one million, six hundred thirty-eight thousand, one hundred twelve".