11667288 has 64 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 3718400.

The previous prime is 11667281. The next prime is 11667289. The reversal of 11667288 is 88276611.

It is a super-2 number, since 2×11667288² = 272251218549888, which contains 22 as substring.

Its product of digits (32256) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69781 + ... + 69947.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^11667288 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 11667288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

11667288 is an abundant number, since it is smaller than the sum of its proper divisors (18814632).

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

11667288 is a wasteful number, since it uses less digits than its factorization.

11667288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 11667288 is about 3415.7412079957. The cubic root of 11667288 is about 226.8070967548.

The spelling of 11667288 in words is "eleven million, six hundred sixty-seven thousand, two hundred eighty-eight".