206413680 has 160 divisors (see below), whose sum is σ = 715454208. Its totient is φ = 48793600.

The previous prime is 206413673. The next prime is 206413733. The reversal of 206413680 is 86314602.

It is a super-2 number, since 2×206413680² = 85213214582284800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107287 + ... + 109193.

Almost surely, 2^206413680 is an apocalyptic number.

206413680 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 206413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357727104).

206413680 is an abundant number, since it is smaller than the sum of its proper divisors (509040528).

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

206413680 is a wasteful number, since it uses less digits than its factorization.

206413680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 206413680 is about 14367.1040923354. The cubic root of 206413680 is about 590.9891288967.

The spelling of 206413680 in words is "two hundred six million, four hundred thirteen thousand, six hundred eighty".