206964 has 18 divisors (see below), whose sum is σ = 523250. Its totient is φ = 68976.

The previous prime is 206953. The next prime is 206993. The reversal of 206964 is 469602.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 90000 = 342^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206964.

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, 2839 + ... + 2910.

2²⁰⁶⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

206964 is an abundant number, since it is smaller than the sum of its proper divisors (316286).

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

206964 is a wasteful number, since it uses less digits than its factorization.

206964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206964 is about 454.9329620944. The cubic root of 206964 is about 59.1513875334.

The spelling of 206964 in words is "two hundred six thousand, nine hundred sixty-four".