11975168 has 40 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 5667840.

The previous prime is 11975153. The next prime is 11975189. The reversal of 11975168 is 86157911.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9113 + ... + 10343.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^11975168 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 11975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

11975168 is an abundant number, since it is smaller than the sum of its proper divisors (13231552).

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

11975168 is an equidigital number, since it uses as much as digits as its factorization.

11975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

The product of its digits is 15120, while the sum is 38.

The square root of 11975168 is about 3460.5155685244. The cubic root of 11975168 is about 228.7848197665.

The spelling of 11975168 in words is "eleven million, nine hundred seventy-five thousand, one hundred sixty-eight".