206400672 has 72 divisors (see below), whose sum is σ = 621493236. Its totient is φ = 64751616.

The previous prime is 206400661. The next prime is 206400721. The reversal of 206400672 is 276004602.

It can be written as a sum of positive squares in 2 ways, for example, as 206324496 + 76176 = 14364^2 + 276^2 .

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

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, 16183 + ... + 25974.

Almost surely, 2^206400672 is an apocalyptic number.

It is an amenable number.

206400672 is an abundant number, since it is smaller than the sum of its proper divisors (415092564).

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

206400672 is a wasteful number, since it uses less digits than its factorization.

206400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42190 (or 42179 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 206400672 is about 14366.6513843693. The cubic root of 206400672 is about 590.9767141057.

The spelling of 206400672 in words is "two hundred six million, four hundred thousand, six hundred seventy-two".