89281296 has 120 divisors (see below), whose sum is σ = 276570840. Its totient is φ = 26707968.

The previous prime is 89281279. The next prime is 89281301. The reversal of 89281296 is 69218298.

89281296 is a `hidden beast` number, since 89 + 281 + 296 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27878400 + 61402896 = 5280^2 + 7836^2 .

It is a super-2 number, since 2×89281296² = 15942299630879232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68620 + ... + 69908.

It is an arithmetic number, because the mean of its divisors is an integer number (2304757).

Almost surely, 2^89281296 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 89281296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138285420).

89281296 is an abundant number, since it is smaller than the sum of its proper divisors (187289544).

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

89281296 is a wasteful number, since it uses less digits than its factorization.

89281296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1344 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 89281296 is about 9448.8780286339. The cubic root of 89281296 is about 446.9443949871.

The spelling of 89281296 in words is "eighty-nine million, two hundred eighty-one thousand, two hundred ninety-six".