89112096 has 96 divisors (see below), whose sum is σ = 275244480. Its totient is φ = 27952128.

The previous prime is 89112091. The next prime is 89112119. The reversal of 89112096 is 69021198.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 89112096.

It is not an unprimeable number, because it can be changed into a prime (89112091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11655 + ... + 17721.

It is an arithmetic number, because the mean of its divisors is an integer number (2867130).

Almost surely, 2^89112096 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 89112096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137622240).

89112096 is an abundant number, since it is smaller than the sum of its proper divisors (186132384).

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

89112096 is a wasteful number, since it uses less digits than its factorization.

89112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 89112096 is about 9439.9203386469. The cubic root of 89112096 is about 446.6618766349.

The spelling of 89112096 in words is "eighty-nine million, one hundred twelve thousand, ninety-six".