21963760 has 120 divisors (see below), whose sum is σ = 64120896. Its totient is φ = 6935040.

The previous prime is 21963757. The next prime is 21963769. The reversal of 21963760 is 6736912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21963769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50745 + ... + 51175.

Almost surely, 2^21963760 is an apocalyptic number.

21963760 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 21963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448).

21963760 is an abundant number, since it is smaller than the sum of its proper divisors (42157136).

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

21963760 is a wasteful number, since it uses less digits than its factorization.

21963760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 21963760 is about 4686.5509705966. The cubic root of 21963760 is about 280.0499910741.

The spelling of 21963760 in words is "twenty-one million, nine hundred sixty-three thousand, seven hundred sixty".