206306964 has 72 divisors (see below), whose sum is σ = 547415232. Its totient is φ = 65387520.

The previous prime is 206306963. The next prime is 206306993. The reversal of 206306964 is 469603602.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206306963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159159 + ... + 160449.

Almost surely, 2^206306964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206306964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273707616).

206306964 is an abundant number, since it is smaller than the sum of its proper divisors (341108268).

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

206306964 is a wasteful number, since it uses less digits than its factorization.

206306964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 206306964 is about 14363.3897113460. The cubic root of 206306964 is about 590.8872640918.

The spelling of 206306964 in words is "two hundred six million, three hundred six thousand, nine hundred sixty-four".