206039680 has 256 divisors, whose sum is σ = 636284160. Its totient is φ = 61931520.

The previous prime is 206039633. The next prime is 206039683. The reversal of 206039680 is 86930602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206039683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823304 + ... + 1823416.

It is an arithmetic number, because the mean of its divisors is an integer number (2485485).

Almost surely, 2^206039680 is an apocalyptic number.

206039680 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 206039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318142080).

206039680 is an abundant number, since it is smaller than the sum of its proper divisors (430244480).

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

206039680 is a wasteful number, since it uses less digits than its factorization.

206039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 206039680 is about 14354.0823461481. The cubic root of 206039680 is about 590.6319762714.

The spelling of 206039680 in words is "two hundred six million, thirty-nine thousand, six hundred eighty".