263220 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 67840.

The previous prime is 263213. The next prime is 263227. The reversal of 263220 is 22362.

It is an interprime number because it is at equal distance from previous prime (263213) and next prime (263227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 263220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263227) by changing a digit.

263220 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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2²⁶³²²⁰ is an apocalyptic number.

263220 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 263220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

263220 is an abundant number, since it is smaller than the sum of its proper divisors (498828).

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

263220 is a wasteful number, since it uses less digits than its factorization.

263220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 263220 is about 513.0497051943. The cubic root of 263220 is about 64.0874455696.

Adding to 263220 its reverse (22362), we get a palindrome (285582).

The spelling of 263220 in words is "two hundred sixty-three thousand, two hundred twenty".