11833380 has 108 divisors (see below), whose sum is σ = 38968020. Its totient is φ = 2905344.

The previous prime is 11833369. The next prime is 11833387. The reversal of 11833380 is 8333811.

It can be written as a sum of positive squares in 6 ways, for example, as 3779136 + 8054244 = 1944^2 + 2838^2 .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11833387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30226 + ... + 30614.

It is an arithmetic number, because the mean of its divisors is an integer number (360815).

Almost surely, 2^11833380 is an apocalyptic number.

11833380 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 11833380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19484010).

11833380 is an abundant number, since it is smaller than the sum of its proper divisors (27134640).

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

11833380 is a wasteful number, since it uses less digits than its factorization.

11833380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11833380 is about 3439.9680231072. The cubic root of 11833380 is about 227.8782822163.

It can be divided in two parts, 1 and 1833380, that added together give a palindrome (1833381).

The spelling of 11833380 in words is "eleven million, eight hundred thirty-three thousand, three hundred eighty".