21834960 has 160 divisors (see below), whose sum is σ = 79494912. Its totient is φ = 4853760.

The previous prime is 21834947. The next prime is 21834961. The reversal of 21834960 is 6943812.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21834961) 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 31 ways as a sum of consecutive naturals, for example, 68722 + ... + 69038.

Almost surely, 2^21834960 is an apocalyptic number.

21834960 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 21834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39747456).

21834960 is an abundant number, since it is smaller than the sum of its proper divisors (57659952).

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

21834960 is a wasteful number, since it uses less digits than its factorization.

21834960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21834960 is about 4672.7893168856. The cubic root of 21834960 is about 279.5014939495.

The spelling of 21834960 in words is "twenty-one million, eight hundred thirty-four thousand, nine hundred sixty".