21764400 has 120 divisors (see below), whose sum is σ = 79709184. Its totient is φ = 4972800.

The previous prime is 21764383. The next prime is 21764401. The reversal of 21764400 is 446712.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21764401) 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, 7105 + ... + 9695.

Almost surely, 2^21764400 is an apocalyptic number.

21764400 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 21764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39854592).

21764400 is an abundant number, since it is smaller than the sum of its proper divisors (57944784).

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

21764400 is a wasteful number, since it uses less digits than its factorization.

21764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 21764400 is about 4665.2331131467. The cubic root of 21764400 is about 279.2000979740.

The spelling of 21764400 in words is "twenty-one million, seven hundred sixty-four thousand, four hundred".