21846000 has 160 divisors (see below), whose sum is σ = 77066496. Its totient is φ = 5280000.

The previous prime is 21845983. The next prime is 21846031. The reversal of 21846000 is 64812.

It is a congruent number.

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, 65835 + ... + 66165.

Almost surely, 2^21846000 is an apocalyptic number.

21846000 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 21846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38533248).

21846000 is an abundant number, since it is smaller than the sum of its proper divisors (55220496).

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

21846000 is a wasteful number, since it uses less digits than its factorization.

21846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21846000 is about 4673.9704748747. The cubic root of 21846000 is about 279.5485923731.

The spelling of 21846000 in words is "twenty-one million, eight hundred forty-six thousand".