21964800 has 288 divisors, whose sum is σ = 85307040. Its totient is φ = 4915200.

The previous prime is 21964763. The next prime is 21964801. The reversal of 21964800 is 846912.

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

It is not an unprimeable number, because it can be changed into a prime (21964801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689594 + ... + 1689606.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 2^21964800 is an apocalyptic number.

21964800 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 21964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

21964800 is an abundant number, since it is smaller than the sum of its proper divisors (63342240).

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

21964800 is a wasteful number, since it uses less digits than its factorization.

21964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 34 counting only the distinct ones).

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

The square root of 21964800 is about 4686.6619250806. The cubic root of 21964800 is about 280.0544111945.

It can be divided in two parts, 2196 and 4800, that added together give a palindrome (6996).

The spelling of 21964800 in words is "twenty-one million, nine hundred sixty-four thousand, eight hundred".