21834008 has 64 divisors (see below), whose sum is σ = 48840000. Its totient is φ = 9144576.

The previous prime is 21833963. The next prime is 21834011. The reversal of 21834008 is 80043812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200258 + ... + 200366.

It is an arithmetic number, because the mean of its divisors is an integer number (763125).

Almost surely, 2^21834008 is an apocalyptic number.

21834008 is a gapful number since it is divisible by the number (28) 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 21834008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420000).

21834008 is an abundant number, since it is smaller than the sum of its proper divisors (27005992).

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

21834008 is a wasteful number, since it uses less digits than its factorization.

21834008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 21834008 is about 4672.6874494235. The cubic root of 21834008 is about 279.4974318203.

The spelling of 21834008 in words is "twenty-one million, eight hundred thirty-four thousand, eight".