89128960 has 84 divisors (see below), whose sum is σ = 226492308. Its totient is φ = 33554432.

The previous prime is 89128939. The next prime is 89128997. The reversal of 89128960 is 6982198.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 37748736 = 7168^2 + 6144^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 89128960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5242872 + ... + 5242888.

It is an arithmetic number, because the mean of its divisors is an integer number (2696337).

Almost surely, 2^89128960 is an apocalyptic number.

89128960 is a gapful number since it is divisible by the number (80) 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 89128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113246154).

89128960 is an abundant number, since it is smaller than the sum of its proper divisors (137363348).

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

89128960 is an frugal number, since it uses more digits than its factorization.

89128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 89128960 is about 9440.8135242679. The cubic root of 89128960 is about 446.6900510022.

The spelling of 89128960 in words is "eighty-nine million, one hundred twenty-eight thousand, nine hundred sixty".