206460090 has 112 divisors (see below), whose sum is σ = 564092928. Its totient is φ = 54377568.

The previous prime is 206460073. The next prime is 206460109. The reversal of 206460090 is 90064602.

206460090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 925719 + ... + 925941.

It is an arithmetic number, because the mean of its divisors is an integer number (5036544).

Almost surely, 2^206460090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206460090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282046464).

206460090 is an abundant number, since it is smaller than the sum of its proper divisors (357632838).

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

206460090 is a wasteful number, since it uses less digits than its factorization.

206460090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 206460090 is about 14368.7191495972. The cubic root of 206460090 is about 591.0334181933.

The spelling of 206460090 in words is "two hundred six million, four hundred sixty thousand, ninety".