206700312 has 256 divisors, whose sum is σ = 681246720. Its totient is φ = 50803200.

The previous prime is 206700301. The next prime is 206700323. The reversal of 206700312 is 213007602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (206700301) and next prime (206700323).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911237 + ... + 2911307.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^206700312 is an apocalyptic number.

206700312 is the 11739-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206700312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340623360).

206700312 is an abundant number, since it is smaller than the sum of its proper divisors (474546408).

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

206700312 is a wasteful number, since it uses less digits than its factorization.

206700312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 206700312 is about 14377.0759196716. The cubic root of 206700312 is about 591.2625572322.

Adding to 206700312 its reverse (213007602), we get a palindrome (419707914).

The spelling of 206700312 in words is "two hundred six million, seven hundred thousand, three hundred twelve".