21834800 has 180 divisors, whose sum is σ = 63310680. Its totient is φ = 7188480.

The previous prime is 21834793. The next prime is 21834803. The reversal of 21834800 is 843812.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21834800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21834803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1149191 + ... + 1149209.

It is an arithmetic number, because the mean of its divisors is an integer number (351726).

Almost surely, 2^21834800 is an apocalyptic number.

21834800 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 21834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31655340).

21834800 is an abundant number, since it is smaller than the sum of its proper divisors (41475880).

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

21834800 is a wasteful number, since it uses less digits than its factorization.

21834800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 56 counting only the distinct ones).

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

The square root of 21834800 is about 4672.7721964590. The cubic root of 21834800 is about 279.5008112470.

The spelling of 21834800 in words is "twenty-one million, eight hundred thirty-four thousand, eight hundred".