206976672 has 72 divisors (see below), whose sum is σ = 672680736. Its totient is φ = 59135616.

The previous prime is 206976659. The next prime is 206976689. The reversal of 206976672 is 276679602.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 49318 + ... + 53349.

It is an arithmetic number, because the mean of its divisors is an integer number (9342788).

Almost surely, 2^206976672 is an apocalyptic number.

It is an amenable number.

206976672 is an abundant number, since it is smaller than the sum of its proper divisors (465704064).

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

206976672 is a wasteful number, since it uses less digits than its factorization.

206976672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102690 (or 102679 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 206976672 is about 14386.6838430543. The cubic root of 206976672 is about 591.5259474997.

The spelling of 206976672 in words is "two hundred six million, nine hundred seventy-six thousand, six hundred seventy-two".