206047872 has 96 divisors (see below), whose sum is σ = 595745280. Its totient is φ = 68356608.

The previous prime is 206047861. The next prime is 206047903. The reversal of 206047872 is 278740602.

206047872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440983 + ... + 441449.

It is an arithmetic number, because the mean of its divisors is an integer number (6205680).

Almost surely, 2^206047872 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 206047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297872640).

206047872 is an abundant number, since it is smaller than the sum of its proper divisors (389697408).

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

206047872 is a wasteful number, since it uses less digits than its factorization.

206047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 206047872 is about 14354.3676976731. The cubic root of 206047872 is about 590.6398038785.

The spelling of 206047872 in words is "two hundred six million, forty-seven thousand, eight hundred seventy-two".