206272264 has 64 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 89544000.

The previous prime is 206272223. The next prime is 206272289. The reversal of 206272264 is 462272602.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 225969 + ... + 226879.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^206272264 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 206272264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

206272264 is an abundant number, since it is smaller than the sum of its proper divisors (234989816).

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

206272264 is a wasteful number, since it uses less digits than its factorization.

206272264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 206272264 is about 14362.1817284144. The cubic root of 206272264 is about 590.8541339486.

The spelling of 206272264 in words is "two hundred six million, two hundred seventy-two thousand, two hundred sixty-four".