206427312 has 320 divisors, whose sum is σ = 749952000. Its totient is φ = 52918272.

The previous prime is 206427293. The next prime is 206427313. The reversal of 206427312 is 213724602.

206427312 is a `hidden beast` number, since 2 + 0 + 642 + 7 + 3 + 12 = 666.

It is a super-2 number, since 2×206427312² = 85224470279090688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (206427313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2319364 + ... + 2319452.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^206427312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206427312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

206427312 is an abundant number, since it is smaller than the sum of its proper divisors (543524688).

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

206427312 is a wasteful number, since it uses less digits than its factorization.

206427312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 206427312 is about 14367.5785016126. The cubic root of 206427312 is about 591.0021386714.

The spelling of 206427312 in words is "two hundred six million, four hundred twenty-seven thousand, three hundred twelve".