263802 has 32 divisors (see below), whose sum is σ = 658944. Its totient is φ = 68400.

The previous prime is 263761. The next prime is 263803. The reversal of 263802 is 208362.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263803) by changing a digit.

263802 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 15 ways as a sum of consecutive naturals, for example, 177 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (20592).

2²⁶³⁸⁰² is an apocalyptic number.

263802 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 263802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329472).

263802 is an abundant number, since it is smaller than the sum of its proper divisors (395142).

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

263802 is a wasteful number, since it uses less digits than its factorization.

263802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594.

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

The square root of 263802 is about 513.6165885172. The cubic root of 263802 is about 64.1346449172.

It can be divided in two parts, 26 and 3802, that added together give a triangular number (3828 = T₈₇).

The spelling of 263802 in words is "two hundred sixty-three thousand, eight hundred two".