21960768 has 56 divisors (see below), whose sum is σ = 60643008. Its totient is φ = 7000576.

The previous prime is 21960767. The next prime is 21960769. The reversal of 21960768 is 86706912.

It is an interprime number because it is at equal distance from previous prime (21960767) and next prime (21960769).

It is a super-2 number, since 2×21960768² = 964550662299648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21960767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930 + ... + 6902.

Almost surely, 2^21960768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30321504).

21960768 is an abundant number, since it is smaller than the sum of its proper divisors (38682240).

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

21960768 is a wasteful number, since it uses less digits than its factorization.

21960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5001 counting only the distinct ones).

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

The square root of 21960768 is about 4686.2317484307. The cubic root of 21960768 is about 280.0372739494.

The spelling of 21960768 in words is "twenty-one million, nine hundred sixty thousand, seven hundred sixty-eight".