261036306 has 48 divisors (see below), whose sum is σ = 585531648. Its totient is φ = 83959200.

The previous prime is 261036283. The next prime is 261036311. The reversal of 261036306 is 603630162.

261036306 is a `hidden beast` number, since 26 + 1 + 0 + 3 + 630 + 6 = 666.

261036306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261036306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377421 + ... + 378111.

It is an arithmetic number, because the mean of its divisors is an integer number (12198576).

Almost surely, 2^261036306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261036306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292765824).

261036306 is an abundant number, since it is smaller than the sum of its proper divisors (324495342).

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

261036306 is a wasteful number, since it uses less digits than its factorization.

261036306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 261036306 is about 16156.6180248219. The cubic root of 261036306 is about 639.0972836375.

Adding to 261036306 its reverse (603630162), we get a palindrome (864666468).

The spelling of 261036306 in words is "two hundred sixty-one million, thirty-six thousand, three hundred six".