21894600 has 192 divisors, whose sum is σ = 83744640. Its totient is φ = 4608000.

The previous prime is 21894599. The next prime is 21894617. The reversal of 21894600 is 649812.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54400 + ... + 54800.

It is an arithmetic number, because the mean of its divisors is an integer number (436170).

Almost surely, 2^21894600 is an apocalyptic number.

21894600 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 21894600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41872320).

21894600 is an abundant number, since it is smaller than the sum of its proper divisors (61850040).

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

21894600 is a wasteful number, since it uses less digits than its factorization.

21894600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21894600 is about 4679.1665924607. The cubic root of 21894600 is about 279.7557393598.

The spelling of 21894600 in words is "twenty-one million, eight hundred ninety-four thousand, six hundred".