11685128 has 48 divisors (see below), whose sum is σ = 27459180. Its totient is φ = 4620672.

The previous prime is 11685101. The next prime is 11685151. The reversal of 11685128 is 82158611.

It can be written as a sum of positive squares in 2 ways, for example, as 10640644 + 1044484 = 3262^2 + 1022^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11685094 and 11685103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3950 + ... + 6242.

Almost surely, 2^11685128 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 11685128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729590).

11685128 is an abundant number, since it is smaller than the sum of its proper divisors (15774052).

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

11685128 is a wasteful number, since it uses less digits than its factorization.

11685128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2315 counting only the distinct ones).

The product of its digits is 3840, while the sum is 32.

The square root of 11685128 is about 3418.3516495527. The cubic root of 11685128 is about 226.9226385454.

The spelling of 11685128 in words is "eleven million, six hundred eighty-five thousand, one hundred twenty-eight".