12576168 has 128 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3706560.

The previous prime is 12576163. The next prime is 12576191. The reversal of 12576168 is 86167521.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12576163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159153 + ... + 159231.

It is an arithmetic number, because the mean of its divisors is an integer number (306000).

Almost surely, 2^12576168 is an apocalyptic number.

12576168 is a gapful number since it is divisible by the number (18) 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 12576168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

12576168 is an abundant number, since it is smaller than the sum of its proper divisors (26591832).

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

12576168 is a wasteful number, since it uses less digits than its factorization.

12576168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

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

The square root of 12576168 is about 3546.2893282980. The cubic root of 12576168 is about 232.5498748362.

The spelling of 12576168 in words is "twelve million, five hundred seventy-six thousand, one hundred sixty-eight".