20964800 has 42 divisors (see below), whose sum is σ = 51590448. Its totient is φ = 8385280.

The previous prime is 20964793. The next prime is 20964803. The reversal of 20964800 is 846902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20964803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4952 + ... + 8151.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^20964800 is an apocalyptic number.

20964800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20964800 is an abundant number, since it is smaller than the sum of its proper divisors (30625648).

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

20964800 is a wasteful number, since it uses less digits than its factorization.

20964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125 (or 13110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 20964800 is about 4578.7334493285. The cubic root of 20964800 is about 275.7381820156.

The spelling of 20964800 in words is "twenty million, nine hundred sixty-four thousand, eight hundred".