206234880 has 144 divisors (see below), whose sum is σ = 674520000. Its totient is φ = 53673984.

The previous prime is 206234843. The next prime is 206234933. The reversal of 206234880 is 88432602.

It is a super-2 number, since 2×206234880² = 85065651457228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164496 + ... + 165744.

Almost surely, 2^206234880 is an apocalyptic number.

206234880 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 206234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337260000).

206234880 is an abundant number, since it is smaller than the sum of its proper divisors (468285120).

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

206234880 is a wasteful number, since it uses less digits than its factorization.

206234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 206234880 is about 14360.8801958654. The cubic root of 206234880 is about 590.8184370739.

The spelling of 206234880 in words is "two hundred six million, two hundred thirty-four thousand, eight hundred eighty".