21964608 has 140 divisors (see below), whose sum is σ = 68844160. Its totient is φ = 6905088.

The previous prime is 21964573. The next prime is 21964619. The reversal of 21964608 is 80646912.

21964608 is a `hidden beast` number, since 2 + 1 + 9 + 646 + 0 + 8 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 98385 + ... + 98607.

It is an arithmetic number, because the mean of its divisors is an integer number (491744).

Almost surely, 2^21964608 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 21964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34422080).

21964608 is an abundant number, since it is smaller than the sum of its proper divisors (46879552).

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

21964608 is a wasteful number, since it uses less digits than its factorization.

21964608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 21964608 is about 4686.6414413736. The cubic root of 21964608 is about 280.0535951828.

The spelling of 21964608 in words is "twenty-one million, nine hundred sixty-four thousand, six hundred eight".