89968896 has 108 divisors (see below), whose sum is σ = 274781052. Its totient is φ = 28213248.

The previous prime is 89968871. The next prime is 89968897. The reversal of 89968896 is 69886998.

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 33177600 = 7536^2 + 5760^2 .

It is a super-3 number, since 3×89968896³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89968897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38020 + ... + 40316.

It is an arithmetic number, because the mean of its divisors is an integer number (2544269).

Almost surely, 2^89968896 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 89968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137390526).

89968896 is an abundant number, since it is smaller than the sum of its proper divisors (184812156).

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

89968896 is a wasteful number, since it uses less digits than its factorization.

89968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2319 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The square root of 89968896 is about 9485.1935141040. The cubic root of 89968896 is about 448.0888429246.

The spelling of 89968896 in words is "eighty-nine million, nine hundred sixty-eight thousand, eight hundred ninety-six".