89119296 has 252 divisors, whose sum is σ = 314773056. Its totient is φ = 23569920.

The previous prime is 89119279. The next prime is 89119301. The reversal of 89119296 is 69291198.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2874801 + ... + 2874831.

Almost surely, 2^89119296 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 89119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157386528).

89119296 is an abundant number, since it is smaller than the sum of its proper divisors (225653760).

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

89119296 is a wasteful number, since it uses less digits than its factorization.

89119296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 66 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 89119296 is about 9440.3016900944. The cubic root of 89119296 is about 446.6739059741.

The spelling of 89119296 in words is "eighty-nine million, one hundred nineteen thousand, two hundred ninety-six".