206793664 has 112 divisors (see below), whose sum is σ = 529620480. Its totient is φ = 77736960.

The previous prime is 206793659. The next prime is 206793683. The reversal of 206793664 is 466397602.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 206793664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142189 + ... + 143635.

Almost surely, 2^206793664 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 206793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264810240).

206793664 is an abundant number, since it is smaller than the sum of its proper divisors (322826816).

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

206793664 is a wasteful number, since it uses less digits than its factorization.

206793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 206793664 is about 14380.3221104397. The cubic root of 206793664 is about 591.3515544128.

The spelling of 206793664 in words is "two hundred six million, seven hundred ninety-three thousand, six hundred sixty-four".