206795160 has 384 divisors, whose sum is σ = 822182400. Its totient is φ = 45826560.

The previous prime is 206795153. The next prime is 206795161. The reversal of 206795160 is 61597602.

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 (206795161) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2007669 + ... + 2007771.

It is an arithmetic number, because the mean of its divisors is an integer number (2141100).

Almost surely, 2^206795160 is an apocalyptic number.

206795160 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 206795160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411091200).

206795160 is an abundant number, since it is smaller than the sum of its proper divisors (615387240).

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

206795160 is a wasteful number, since it uses less digits than its factorization.

206795160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 206795160 is about 14380.3741258703. The cubic root of 206795160 is about 591.3529804072.

The spelling of 206795160 in words is "two hundred six million, seven hundred ninety-five thousand, one hundred sixty".