263232 has 42 divisors (see below), whose sum is σ = 756158. Its totient is φ = 87552.

The previous prime is 263227. The next prime is 263239. The reversal of 263232 is 232362.

263232 is a `hidden beast` number, since 2 + 632 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 9216 = 504^2 + 96^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2² + 6 + 2¹⁰ + 3³ + 3³ + 2¹⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263239) by changing a digit.

263232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 348 + ... + 804.

2²⁶³²³² 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 263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378079).

263232 is an abundant number, since it is smaller than the sum of its proper divisors (492926).

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

263232 is a wasteful number, since it uses less digits than its factorization.

263232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 263232 is about 513.0613998344. The cubic root of 263232 is about 64.0884194542.

Adding to 263232 its reverse (232362), we get a palindrome (495594).

It can be divided in two parts, 263 and 232, that multiplied together give a palindrome (61016).

The spelling of 263232 in words is "two hundred sixty-three thousand, two hundred thirty-two".