88320168 has 96 divisors (see below), whose sum is σ = 257774400. Its totient is φ = 27216384.

The previous prime is 88320143. The next prime is 88320179. The reversal of 88320168 is 86102388.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71605 + ... + 72827.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^88320168 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 88320168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

88320168 is an abundant number, since it is smaller than the sum of its proper divisors (169454232).

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

88320168 is a wasteful number, since it uses less digits than its factorization.

88320168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88320168 is about 9397.8810377659. The cubic root of 88320168 is about 445.3347949761.

It can be divided in two parts, 88320 and 168, that added together give a palindrome (88488).

The spelling of 88320168 in words is "eighty-eight million, three hundred twenty thousand, one hundred sixty-eight".