21786960 has 80 divisors (see below), whose sum is σ = 72745344. Its totient is φ = 5362176.

The previous prime is 21786953. The next prime is 21786967. The reversal of 21786960 is 6968712.

It is an interprime number because it is at equal distance from previous prime (21786953) and next prime (21786967).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21786967) 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, 372 + ... + 6611.

Almost surely, 2^21786960 is an apocalyptic number.

21786960 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 21786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36372672).

21786960 is an abundant number, since it is smaller than the sum of its proper divisors (50958384).

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

21786960 is a wasteful number, since it uses less digits than its factorization.

21786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7012 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 21786960 is about 4667.6503725108. The cubic root of 21786960 is about 279.2965334240.

The spelling of 21786960 in words is "twenty-one million, seven hundred eighty-six thousand, nine hundred sixty".