89096 has 32 divisors (see below), whose sum is σ = 200640. Its totient is φ = 36288.

The previous prime is 89087. The next prime is 89101. The reversal of 89096 is 69098.

89096 = T₄₃ + T₄₄ + ... + T₈₄.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

89096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2051 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (6270).

2⁸⁹⁰⁹⁶ is an apocalyptic number.

89096 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100320).

89096 is an abundant number, since it is smaller than the sum of its proper divisors (111544).

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

89096 is a wasteful number, since it uses less digits than its factorization.

89096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 89096 is about 298.4895308047. The cubic root of 89096 is about 44.6634982035.

The spelling of 89096 in words is "eighty-nine thousand, ninety-six".