89376 has 72 divisors (see below), whose sum is σ = 287280. Its totient is φ = 24192.

The previous prime is 89371. The next prime is 89381. The reversal of 89376 is 67398.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89371) and next prime (89381).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89376.

It is not an unprimeable number, because it can be changed into a prime (89371) by changing a digit.

89376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4695 + ... + 4713.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁸⁹³⁷⁶ 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 89376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

89376 is an abundant number, since it is smaller than the sum of its proper divisors (197904).

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

89376 is a wasteful number, since it uses less digits than its factorization.

89376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 31 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 89376 is about 298.9581910569. The cubic root of 89376 is about 44.7102369339.

It can be divided in two parts, 893 and 76, that added together give a palindrome (969).

The spelling of 89376 in words is "eighty-nine thousand, three hundred seventy-six".