206106460 has 48 divisors (see below), whose sum is σ = 497859264. Its totient is φ = 70207488.

The previous prime is 206106449. The next prime is 206106493. The reversal of 206106460 is 64601602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17292 + ... + 26668.

It is an arithmetic number, because the mean of its divisors is an integer number (10372068).

Almost surely, 2^206106460 is an apocalyptic number.

206106460 is a gapful number since it is divisible by the number (20) 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 206106460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248929632).

206106460 is an abundant number, since it is smaller than the sum of its proper divisors (291752804).

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

206106460 is a wasteful number, since it uses less digits than its factorization.

206106460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 206106460 is about 14356.4083252045. The cubic root of 206106460 is about 590.6957797467.

The spelling of 206106460 in words is "two hundred six million, one hundred six thousand, four hundred sixty".