21748960 has 48 divisors (see below), whose sum is σ = 51734592. Its totient is φ = 8640000.

The previous prime is 21748943. The next prime is 21748973. The reversal of 21748960 is 6984712.

It is a super-2 number, since 2×21748960² = 946034522163200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28585 + ... + 29335.

It is an arithmetic number, because the mean of its divisors is an integer number (1077804).

Almost surely, 2^21748960 is an apocalyptic number.

21748960 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 21748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25867296).

21748960 is an abundant number, since it is smaller than the sum of its proper divisors (29985632).

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

21748960 is a wasteful number, since it uses less digits than its factorization.

21748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 21748960 is about 4663.5780255079. The cubic root of 21748960 is about 279.1340594078.

The spelling of 21748960 in words is "twenty-one million, seven hundred forty-eight thousand, nine hundred sixty".