21749904 has 160 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 6272640.

The previous prime is 21749899. The next prime is 21749911. The reversal of 21749904 is 40994712.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109197 + ... + 109395.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^21749904 is an apocalyptic number.

21749904 is a gapful number since it is divisible by the number (24) 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 21749904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

21749904 is an abundant number, since it is smaller than the sum of its proper divisors (49674096).

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

21749904 is a wasteful number, since it uses less digits than its factorization.

21749904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21749904 is about 4663.6792342527. The cubic root of 21749904 is about 279.1380978958.

The spelling of 21749904 in words is "twenty-one million, seven hundred forty-nine thousand, nine hundred four".