21848800 has 72 divisors (see below), whose sum is σ = 55121472. Its totient is φ = 8448000.

The previous prime is 21848753. The next prime is 21848809. The reversal of 21848800 is 884812.

It is a super-2 number, since 2×21848800² = 954740122880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21848809) 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 11 ways as a sum of consecutive naturals, for example, 24360 + ... + 25240.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^21848800 is an apocalyptic number.

21848800 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 21848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27560736).

21848800 is an abundant number, since it is smaller than the sum of its proper divisors (33272672).

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

21848800 is a wasteful number, since it uses less digits than its factorization.

21848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 21848800 is about 4674.2699964807. The cubic root of 21848800 is about 279.5605351028.

The spelling of 21848800 in words is "twenty-one million, eight hundred forty-eight thousand, eight hundred".