11810368 has 28 divisors (see below), whose sum is σ = 23665180. Its totient is φ = 5847552.

The previous prime is 11810341. The next prime is 11810369. The reversal of 11810368 is 86301811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 5419584 = 2528^2 + 2328^2 .

It is not an unprimeable number, because it can be changed into a prime (11810369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6130 + ... + 7822.

It is an arithmetic number, because the mean of its divisors is an integer number (845185).

Almost surely, 2^11810368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832590).

11810368 is an abundant number, since it is smaller than the sum of its proper divisors (11854812).

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

11810368 is a wasteful number, since it uses less digits than its factorization.

11810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 11810368 is about 3436.6215968593. The cubic root of 11810368 is about 227.7304704627.

The spelling of 11810368 in words is "eleven million, eight hundred ten thousand, three hundred sixty-eight".