11833668 has 96 divisors (see below), whose sum is σ = 38277120. Its totient is φ = 3071520.

The previous prime is 11833667. The next prime is 11833687. The reversal of 11833668 is 86633811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11833667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7605 + ... + 9027.

It is an arithmetic number, because the mean of its divisors is an integer number (398720).

Almost surely, 2^11833668 is an apocalyptic number.

11833668 is a gapful number since it is divisible by the number (18) 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 11833668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138560).

11833668 is an abundant number, since it is smaller than the sum of its proper divisors (26443452).

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

11833668 is a wasteful number, since it uses less digits than its factorization.

11833668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11833668 is about 3440.0098837067. The cubic root of 11833668 is about 227.8801308967.

It can be divided in two parts, 1183 and 3668, that added together give a triangular number (4851 = T₉₈).

The spelling of 11833668 in words is "eleven million, eight hundred thirty-three thousand, six hundred sixty-eight".