11667712 has 72 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 4694016.

The previous prime is 11667707. The next prime is 11667713. The reversal of 11667712 is 21776611.

It is a super-2 number, since 2×11667712² = 272271006629888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11667713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30273 + ... + 30655.

It is an arithmetic number, because the mean of its divisors is an integer number (392448).

Almost surely, 2^11667712 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 11667712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

11667712 is an abundant number, since it is smaller than the sum of its proper divisors (16588544).

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

11667712 is an equidigital number, since it uses as much as digits as its factorization.

11667712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its digits is 3528, while the sum is 31.

The square root of 11667712 is about 3415.8032730238. The cubic root of 11667712 is about 226.8098441812.

The spelling of 11667712 in words is "eleven million, six hundred sixty-seven thousand, seven hundred twelve".