206464680 has 128 divisors (see below), whose sum is σ = 701395200. Its totient is φ = 54003456.

The previous prime is 206464679. The next prime is 206464693. The reversal of 206464680 is 86464602.

It is a happy number.

206464680 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 646 + 8 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 55437 + ... + 59043.

It is an arithmetic number, because the mean of its divisors is an integer number (5479650).

Almost surely, 2^206464680 is an apocalyptic number.

206464680 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 206464680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350697600).

206464680 is an abundant number, since it is smaller than the sum of its proper divisors (494930520).

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

206464680 is a wasteful number, since it uses less digits than its factorization.

206464680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 206464680 is about 14368.8788706705. The cubic root of 206464680 is about 591.0377980927.

The spelling of 206464680 in words is "two hundred six million, four hundred sixty-four thousand, six hundred eighty".