11669328 has 120 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3444480.

The previous prime is 11669267. The next prime is 11669351. The reversal of 11669328 is 82396611.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11669292 and 11669301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83883 + ... + 84021.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^11669328 is an apocalyptic number.

11669328 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 11669328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

11669328 is an abundant number, since it is smaller than the sum of its proper divisors (24890832).

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

11669328 is a wasteful number, since it uses less digits than its factorization.

11669328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11669328 is about 3416.0398124144. The cubic root of 11669328 is about 226.8203148941.

The spelling of 11669328 in words is "eleven million, six hundred sixty-nine thousand, three hundred twenty-eight".