206968320 has 240 divisors, whose sum is σ = 773044272. Its totient is φ = 50872320.

The previous prime is 206968313. The next prime is 206968351. The reversal of 206968320 is 23869602.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299175 + ... + 299865.

Almost surely, 2^206968320 is an apocalyptic number.

206968320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386522136).

206968320 is an abundant number, since it is smaller than the sum of its proper divisors (566075952).

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

206968320 is a wasteful number, since it uses less digits than its factorization.

206968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 206968320 is about 14386.3935717052. The cubic root of 206968320 is about 591.5179909006.

The spelling of 206968320 in words is "two hundred six million, nine hundred sixty-eight thousand, three hundred twenty".