233160 has 64 divisors (see below), whose sum is σ = 734400. Its totient is φ = 59136.

The previous prime is 233159. The next prime is 233161. The reversal of 233160 is 61332.

233160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233159) and next prime (233161).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3447 + ... + 3513.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2²³³¹⁶⁰ is an apocalyptic number.

233160 is a gapful number since it is divisible by the number (20) 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 233160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

233160 is an abundant number, since it is smaller than the sum of its proper divisors (501240).

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

233160 is a wasteful number, since it uses less digits than its factorization.

233160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 233160 is about 482.8664411615. The cubic root of 233160 is about 61.5485768629.

Adding to 233160 its reverse (61332), we get a palindrome (294492).

It can be divided in two parts, 233 and 160, that added together give a palindrome (393).

The spelling of 233160 in words is "two hundred thirty-three thousand, one hundred sixty".