16131168 has 72 divisors (see below), whose sum is σ = 46519200. Its totient is φ = 5301504.

The previous prime is 16131127. The next prime is 16131169. The reversal of 16131168 is 86113161.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16131169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22398 + ... + 23106.

It is an arithmetic number, because the mean of its divisors is an integer number (646100).

Almost surely, 2^16131168 is an apocalyptic number.

16131168 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 16131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23259600).

16131168 is an abundant number, since it is smaller than the sum of its proper divisors (30388032).

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

16131168 is a wasteful number, since it uses less digits than its factorization.

16131168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 793 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 16131168 is about 4016.3625334374. The cubic root of 16131168 is about 252.6709256698.

It can be divided in two parts, 161 and 31168, that added together give a square (31329 = 177²).

The spelling of 16131168 in words is "sixteen million, one hundred thirty-one thousand, one hundred sixty-eight".