263320 has 32 divisors (see below), whose sum is σ = 615600. Its totient is φ = 101248.

The previous prime is 263303. The next prime is 263323. The reversal of 263320 is 23362.

263320 = T₁₂₀ + T₁₂₁ + ... + T₁₄₈.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 263294 and 263303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047 + ... + 1273.

2²⁶³³²⁰ is an apocalyptic number.

263320 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 263320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307800).

263320 is an abundant number, since it is smaller than the sum of its proper divisors (352280).

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

263320 is a wasteful number, since it uses less digits than its factorization.

263320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 263320 is about 513.1471523842. The cubic root of 263320 is about 64.0955603699.

Adding to 263320 its reverse (23362), we get a palindrome (286682).

It can be divided in two parts, 26 and 3320, that multiplied together give a triangular number (86320 = T₄₁₅).

The spelling of 263320 in words is "two hundred sixty-three thousand, three hundred twenty".