93120 has 56 divisors (see below), whose sum is σ = 298704. Its totient is φ = 24576.

The previous prime is 93113. The next prime is 93131. The reversal of 93120 is 2139.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 93120.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93120.

It is an unprimeable number.

93120 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, 912 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

2⁹³¹²⁰ 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 93120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352).

93120 is an abundant number, since it is smaller than the sum of its proper divisors (205584).

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

93120 is a wasteful number, since it uses less digits than its factorization.

93120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 93120 is about 305.1556979642. The cubic root of 93120 is about 45.3260272732.

Adding to 93120 its reverse (2139), we get a palindrome (95259).

The spelling of 93120 in words is "ninety-three thousand, one hundred twenty".