20964384 has 72 divisors (see below), whose sum is σ = 68140800. Its totient is φ = 5989248.

The previous prime is 20964373. The next prime is 20964409. The reversal of 20964384 is 48346902.

It is a happy number.

20964384 is a `hidden beast` number, since 2 + 0 + 9 + 643 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3184 + ... + 7215.

It is an arithmetic number, because the mean of its divisors is an integer number (946400).

Almost surely, 2^20964384 is an apocalyptic number.

20964384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20964384 is an abundant number, since it is smaller than the sum of its proper divisors (47176416).

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

20964384 is a wasteful number, since it uses less digits than its factorization.

20964384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20964384 is about 4578.6880216936. The cubic root of 20964384 is about 275.7363581991.

The spelling of 20964384 in words is "twenty million, nine hundred sixty-four thousand, three hundred eighty-four".