21884616 has 96 divisors (see below), whose sum is σ = 64733760. Its totient is φ = 6638976.

The previous prime is 21884609. The next prime is 21884617. The reversal of 21884616 is 61648812.

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

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

It is not an unprimeable number, because it can be changed into a prime (21884617) 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, 96295 + ... + 96521.

It is an arithmetic number, because the mean of its divisors is an integer number (674310).

Almost surely, 2^21884616 is an apocalyptic number.

21884616 is a gapful number since it is divisible by the number (26) 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 21884616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32366880).

21884616 is an abundant number, since it is smaller than the sum of its proper divisors (42849144).

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

21884616 is a wasteful number, since it uses less digits than its factorization.

21884616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

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

The square root of 21884616 is about 4678.0996141596. The cubic root of 21884616 is about 279.7132097565.

It can be divided in two parts, 21884 and 616, that added together give a square (22500 = 150²).

The spelling of 21884616 in words is "twenty-one million, eight hundred eighty-four thousand, six hundred sixteen".