206512680 has 128 divisors (see below), whose sum is σ = 682992000. Its totient is φ = 49536000.

The previous prime is 206512661. The next prime is 206512681. The reversal of 206512680 is 86215602.

206512680 = T₂₈₉ + T₂₉₀ + ... + T₁₀₈₀.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (206512681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132546 + ... + 134094.

It is an arithmetic number, because the mean of its divisors is an integer number (5335875).

Almost surely, 2^206512680 is an apocalyptic number.

206512680 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 206512680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341496000).

206512680 is an abundant number, since it is smaller than the sum of its proper divisors (476479320).

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

206512680 is a wasteful number, since it uses less digits than its factorization.

206512680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 206512680 is about 14370.5490500537. The cubic root of 206512680 is about 591.0835970740.

The spelling of 206512680 in words is "two hundred six million, five hundred twelve thousand, six hundred eighty".