89976 has 32 divisors (see below), whose sum is σ = 236160. Its totient is φ = 28512.

The previous prime is 89963. The next prime is 89977. The reversal of 89976 is 67998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89977) by changing a digit.

89976 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

2⁸⁹⁹⁷⁶ 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 89976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118080).

89976 is an abundant number, since it is smaller than the sum of its proper divisors (146184).

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

89976 is a wasteful number, since it uses less digits than its factorization.

89976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 89976 is about 299.9599973330. The cubic root of 89976 is about 44.8100636405.

The spelling of 89976 in words is "eighty-nine thousand, nine hundred seventy-six".