21960288 has 96 divisors (see below), whose sum is σ = 73221120. Its totient is φ = 6272640.

The previous prime is 21960287. The next prime is 21960293. The reversal of 21960288 is 88206912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21960287) 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 15 ways as a sum of consecutive naturals, for example, 4233 + ... + 7863.

It is an arithmetic number, because the mean of its divisors is an integer number (762720).

Almost surely, 2^21960288 is an apocalyptic number.

21960288 is a gapful number since it is divisible by the number (28) 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 21960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36610560).

21960288 is an abundant number, since it is smaller than the sum of its proper divisors (51260832).

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

21960288 is a wasteful number, since it uses less digits than its factorization.

21960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 21960288 is about 4686.1805342944. The cubic root of 21960288 is about 280.0352336614.

The spelling of 21960288 in words is "twenty-one million, nine hundred sixty thousand, two hundred eighty-eight".