232560 has 120 divisors (see below), whose sum is σ = 870480. Its totient is φ = 55296.

The previous prime is 232549. The next prime is 232567. The reversal of 232560 is 65232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12231 + ... + 12249.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2²³²⁵⁶⁰ is an apocalyptic number.

232560 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 232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).

232560 is an abundant number, since it is smaller than the sum of its proper divisors (637920).

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

232560 is a wasteful number, since it uses less digits than its factorization.

232560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 232560 is about 482.2447511378. The cubic root of 232560 is about 61.4957363691.

232560 divided by its product of nonzero digits (360) gives a palindrome (646).

Adding to 232560 its reverse (65232), we get a palindrome (297792).

The spelling of 232560 in words is "two hundred thirty-two thousand, five hundred sixty".