89109648 has 120 divisors (see below), whose sum is σ = 267672600. Its totient is φ = 27574272.

The previous prime is 89109619. The next prime is 89109661. The reversal of 89109648 is 84690198.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 59166864 = 5472^2 + 7692^2 .

It is a super-3 number, since 3×89109648³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217668 + ... + 218076.

It is an arithmetic number, because the mean of its divisors is an integer number (2230605).

Almost surely, 2^89109648 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 89109648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133836300).

89109648 is an abundant number, since it is smaller than the sum of its proper divisors (178562952).

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

89109648 is a wasteful number, since it uses less digits than its factorization.

89109648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

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

The square root of 89109648 is about 9439.7906756453. The cubic root of 89109648 is about 446.6577865119.

The spelling of 89109648 in words is "eighty-nine million, one hundred nine thousand, six hundred forty-eight".