206312832 has 256 divisors, whose sum is σ = 682502400. Its totient is φ = 61585920.

The previous prime is 206312807. The next prime is 206312881. The reversal of 206312832 is 238213602.

206312832 is a `hidden beast` number, since 2 + 0 + 631 + 28 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206312796 and 206312805.

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, 3079263 + ... + 3079329.

It is an arithmetic number, because the mean of its divisors is an integer number (2666025).

Almost surely, 2^206312832 is an apocalyptic number.

206312832 is a gapful number since it is divisible by the number (22) 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 206312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341251200).

206312832 is an abundant number, since it is smaller than the sum of its proper divisors (476189568).

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

206312832 is an frugal number, since it uses more digits than its factorization.

206312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206312832 is about 14363.5939792240. The cubic root of 206312832 is about 590.8928662513.

The spelling of 206312832 in words is "two hundred six million, three hundred twelve thousand, eight hundred thirty-two".