21766900 has 36 divisors (see below), whose sum is σ = 48395340. Its totient is φ = 8492800.

The previous prime is 21766889. The next prime is 21766909. The reversal of 21766900 is 966712.

It can be written as a sum of positive squares in 6 ways, for example, as 10929636 + 10837264 = 3306^2 + 3292^2 .

It is a super-2 number, since 2×21766900² = 947595871220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21766909) 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, 1446 + ... + 6754.

It is an arithmetic number, because the mean of its divisors is an integer number (1344315).

Almost surely, 2^21766900 is an apocalyptic number.

21766900 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 21766900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24197670).

21766900 is an abundant number, since it is smaller than the sum of its proper divisors (26628440).

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

21766900 is a wasteful number, since it uses less digits than its factorization.

21766900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 21766900 is about 4665.5010449040. The cubic root of 21766900 is about 279.2107878088.

The spelling of 21766900 in words is "twenty-one million, seven hundred sixty-six thousand, nine hundred".