263820 has 24 divisors (see below), whose sum is σ = 738864. Its totient is φ = 70336.

The previous prime is 263819. The next prime is 263821. The reversal of 263820 is 28362.

It is an interprime number because it is at equal distance from previous prime (263819) and next prime (263821).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (263821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2139 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (30786).

2²⁶³⁸²⁰ is an apocalyptic number.

263820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263820 is an abundant number, since it is smaller than the sum of its proper divisors (475044).

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

263820 is a wasteful number, since it uses less digits than its factorization.

263820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 263820 is about 513.6341110168. The cubic root of 263820 is about 64.1361035836.

The spelling of 263820 in words is "two hundred sixty-three thousand, eight hundred twenty".