93864 has 16 divisors (see below), whose sum is σ = 234720. Its totient is φ = 31280.

The previous prime is 93851. The next prime is 93871. The reversal of 93864 is 46839.

It is an unprimeable number.

93864 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 3 ways as a sum of consecutive naturals, for example, 1932 + ... + 1979.

It is an arithmetic number, because the mean of its divisors is an integer number (14670).

2⁹³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

93864 is an abundant number, since it is smaller than the sum of its proper divisors (140856).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117360).

93864 is a wasteful number, since it uses less digits than its factorization.

93864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3916 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 93864 is about 306.3723225097. The cubic root of 93864 is about 45.4464208509.

The spelling of 93864 in words is "ninety-three thousand, eight hundred sixty-four".