206428680 has 192 divisors, whose sum is σ = 709637760. Its totient is φ = 51938304.

The previous prime is 206428679. The next prime is 206428709. The reversal of 206428680 is 86824602.

206428680 = T₁₅₅ + T₁₅₆ + ... + T₁₀₇₄.

206428680 is a `hidden beast` number, since 2 + 0 + 642 + 8 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×206428680² = 85225599853084800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885844 + ... + 886076.

It is an arithmetic number, because the mean of its divisors is an integer number (3696030).

Almost surely, 2^206428680 is an apocalyptic number.

206428680 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 206428680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354818880).

206428680 is an abundant number, since it is smaller than the sum of its proper divisors (503209080).

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

206428680 is a wasteful number, since it uses less digits than its factorization.

206428680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206428680 is about 14367.6261087210. The cubic root of 206428680 is about 591.0034441982.

The spelling of 206428680 in words is "two hundred six million, four hundred twenty-eight thousand, six hundred eighty".