93096 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 30960.

The previous prime is 93089. The next prime is 93097. The reversal of 93096 is 69039.

93096 is a nontrivial binomial coefficient, being equal to C(432, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (93097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁹³⁰⁹⁶ is an apocalyptic number.

93096 is the 431-st triangular number and also the 216-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

93096 is an abundant number, since it is smaller than the sum of its proper divisors (166104).

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

93096 is a wasteful number, since it uses less digits than its factorization.

93096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 93096 is about 305.1163712422. The cubic root of 93096 is about 45.3221329500.

The spelling of 93096 in words is "ninety-three thousand, ninety-six".