89488168 has 64 divisors (see below), whose sum is σ = 213217920. Its totient is φ = 34195200.

The previous prime is 89488129. The next prime is 89488169. The reversal of 89488168 is 86188498.

It is not an unprimeable number, because it can be changed into a prime (89488169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31278 + ... + 34018.

It is an arithmetic number, because the mean of its divisors is an integer number (3331530).

Almost surely, 2^89488168 is an apocalyptic number.

89488168 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 89488168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106608960).

89488168 is an abundant number, since it is smaller than the sum of its proper divisors (123729752).

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

89488168 is a wasteful number, since it uses less digits than its factorization.

89488168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2814 counting only the distinct ones).

The product of its digits is 884736, while the sum is 52.

The square root of 89488168 is about 9459.8186029120. The cubic root of 89488168 is about 447.2893308402.

The spelling of 89488168 in words is "eighty-nine million, four hundred eighty-eight thousand, one hundred sixty-eight".