20964000 has 96 divisors (see below), whose sum is σ = 68717376. Its totient is φ = 5587200.

The previous prime is 20963989. The next prime is 20964001. The reversal of 20964000 is 46902.

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

It is not an unprimeable number, because it can be changed into a prime (20964001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11127 + ... + 12873.

It is an arithmetic number, because the mean of its divisors is an integer number (715806).

Almost surely, 2^20964000 is an apocalyptic number.

20964000 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 20964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34358688).

20964000 is an abundant number, since it is smaller than the sum of its proper divisors (47753376).

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

20964000 is a wasteful number, since it uses less digits than its factorization.

20964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20964000 is about 4578.6460880920. The cubic root of 20964000 is about 275.7346746548.

The spelling of 20964000 in words is "twenty million, nine hundred sixty-four thousand".