11838360 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3088256.

The previous prime is 11838347. The next prime is 11838361. The reversal of 11838360 is 6383811.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4591 + ... + 6689.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^11838360 is an apocalyptic number.

11838360 is a gapful number since it is divisible by the number (10) 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 11838360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11838360 is an abundant number, since it is smaller than the sum of its proper divisors (24449640).

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

11838360 is a wasteful number, since it uses less digits than its factorization.

11838360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 11838360 is about 3440.6917909048. The cubic root of 11838360 is about 227.9102447575.

The spelling of 11838360 in words is "eleven million, eight hundred thirty-eight thousand, three hundred sixty".