20878400 has 42 divisors (see below), whose sum is σ = 51377850. Its totient is φ = 8350720.

The previous prime is 20878399. The next prime is 20878433. The reversal of 20878400 is 487802.

It can be written as a sum of positive squares in 3 ways, for example, as 1658944 + 19219456 = 1288^2 + 4384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4925 + ... + 8124.

Almost surely, 2^20878400 is an apocalyptic number.

20878400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20878400 is an abundant number, since it is smaller than the sum of its proper divisors (30499450).

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

20878400 is a wasteful number, since it uses less digits than its factorization.

20878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13071 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 20878400 is about 4569.2887849205. The cubic root of 20878400 is about 275.3588703196.

The spelling of 20878400 in words is "twenty million, eight hundred seventy-eight thousand, four hundred".