206976312 has 48 divisors (see below), whose sum is σ = 564679440. Its totient is φ = 68485248.

The previous prime is 206976299. The next prime is 206976313. The reversal of 206976312 is 213679602.

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 (206976313) 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 11 ways as a sum of consecutive naturals, for example, 628 + ... + 20355.

It is an arithmetic number, because the mean of its divisors is an integer number (11764155).

Almost surely, 2^206976312 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 206976312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282339720).

206976312 is an abundant number, since it is smaller than the sum of its proper divisors (357703128).

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

206976312 is a wasteful number, since it uses less digits than its factorization.

206976312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132 (or 21125 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 206976312 is about 14386.6713314790. The cubic root of 206976312 is about 591.5256045472.

The spelling of 206976312 in words is "two hundred six million, nine hundred seventy-six thousand, three hundred twelve".