263880 has 48 divisors (see below), whose sum is σ = 858780. Its totient is φ = 70272.

The previous prime is 263869. The next prime is 263881. The reversal of 263880 is 88362.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 15876 = 498^2 + 126^2 .

It is not an unprimeable number, because it can be changed into a prime (263881) by changing a digit.

263880 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 11 ways as a sum of consecutive naturals, for example, 7 + ... + 726.

2²⁶³⁸⁸⁰ is an apocalyptic number.

263880 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 263880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429390).

263880 is an abundant number, since it is smaller than the sum of its proper divisors (594900).

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

263880 is a wasteful number, since it uses less digits than its factorization.

263880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 263880 is about 513.6925150321. The cubic root of 263880 is about 64.1409653258.

The spelling of 263880 in words is "two hundred sixty-three thousand, eight hundred eighty".