11538306 has 36 divisors (see below), whose sum is σ = 27077778. Its totient is φ = 3549312.

The previous prime is 11538283. The next prime is 11538311. The reversal of 11538306 is 60383511.

It can be written as a sum of positive squares in 3 ways, for example, as 3837681 + 7700625 = 1959^2 + 2775^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11538306.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1146 + ... + 4938.

Almost surely, 2^11538306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11538306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538889).

11538306 is an abundant number, since it is smaller than the sum of its proper divisors (15539472).

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

11538306 is a wasteful number, since it uses less digits than its factorization.

11538306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11538306 is about 3396.8082077150. The cubic root of 11538306 is about 225.9682128264.

The spelling of 11538306 in words is "eleven million, five hundred thirty-eight thousand, three hundred six".