8814168 has 96 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 2577600.

The previous prime is 8814167. The next prime is 8814191. The reversal of 8814168 is 8614188.

8814168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 (8814163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24373 + ... + 24731.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 2^8814168 is an apocalyptic number.

8814168 is a gapful number since it is divisible by the number (88) 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 8814168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

8814168 is an abundant number, since it is smaller than the sum of its proper divisors (18142632).

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

8814168 is a wasteful number, since it uses less digits than its factorization.

8814168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 8814168 is about 2968.8664503477. The cubic root of 8814168 is about 206.5667617485.

It can be divided in two parts, 88141 and 68, that added together give a square (88209 = 297²).

The spelling of 8814168 in words is "eight million, eight hundred fourteen thousand, one hundred sixty-eight".