263688 has 16 divisors (see below), whose sum is σ = 659280. Its totient is φ = 87888.

The previous prime is 263677. The next prime is 263723. The reversal of 263688 is 886362.

263688 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×263688² = 139062722688, which contains 22 as substring.

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263688.

It is an unprimeable number.

263688 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, 5470 + ... + 5517.

It is an arithmetic number, because the mean of its divisors is an integer number (41205).

2²⁶³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

263688 is an abundant number, since it is smaller than the sum of its proper divisors (395592).

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

263688 is a wasteful number, since it uses less digits than its factorization.

263688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10996 (or 10992 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 263688 is about 513.5055988010. The cubic root of 263688 is about 64.1254051553.

The spelling of 263688 in words is "two hundred sixty-three thousand, six hundred eighty-eight".