11685672 has 48 divisors (see below), whose sum is σ = 31960500. Its totient is φ = 3856896.

The previous prime is 11685643. The next prime is 11685721. The reversal of 11685672 is 27658611.

It can be written as a sum of positive squares in 2 ways, for example, as 11655396 + 30276 = 3414^2 + 174^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7104 + ... + 8592.

Almost surely, 2^11685672 is an apocalyptic number.

11685672 is a gapful number since it is divisible by the number (12) 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 11685672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980250).

11685672 is an abundant number, since it is smaller than the sum of its proper divisors (20274828).

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

11685672 is a wasteful number, since it uses less digits than its factorization.

11685672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1603 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11685672 is about 3418.4312191413. The cubic root of 11685672 is about 226.9261599446.

The spelling of 11685672 in words is "eleven million, six hundred eighty-five thousand, six hundred seventy-two".