21914960 has 40 divisors (see below), whose sum is σ = 51827040. Its totient is φ = 8615552.

The previous prime is 21914947. The next prime is 21914969. The reversal of 21914960 is 6941912.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21914969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2399 + ... + 7041.

It is an arithmetic number, because the mean of its divisors is an integer number (1295676).

Almost surely, 2^21914960 is an apocalyptic number.

21914960 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 21914960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25913520).

21914960 is an abundant number, since it is smaller than the sum of its proper divisors (29912080).

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

21914960 is a wasteful number, since it uses less digits than its factorization.

21914960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 21914960 is about 4681.3416880206. The cubic root of 21914960 is about 279.8424283491.

The spelling of 21914960 in words is "twenty-one million, nine hundred fourteen thousand, nine hundred sixty".