21826640 has 80 divisors (see below), whose sum is σ = 58656960. Its totient is φ = 7464960.

The previous prime is 21826621. The next prime is 21826643. The reversal of 21826640 is 4662812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21826643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14231 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (733212).

Almost surely, 2^21826640 is an apocalyptic number.

21826640 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 21826640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29328480).

21826640 is an abundant number, since it is smaller than the sum of its proper divisors (36830320).

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

21826640 is a wasteful number, since it uses less digits than its factorization.

21826640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 21826640 is about 4671.8989715104. The cubic root of 21826640 is about 279.4659889939.

The spelling of 21826640 in words is "twenty-one million, eight hundred twenty-six thousand, six hundred forty".