263796 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 76032.

The previous prime is 263761. The next prime is 263803. The reversal of 263796 is 697362.

263796 = 4² + 5² + ... + 92².

Its product of digits (13608) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2920 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁶³⁷⁹⁶ is an apocalyptic number.

263796 is a gapful number since it is divisible by the number (26) 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 263796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

263796 is an abundant number, since it is smaller than the sum of its proper divisors (441804).

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

263796 is a wasteful number, since it uses less digits than its factorization.

263796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 263796 is about 513.6107475511. The cubic root of 263796 is about 64.1341586803.

The spelling of 263796 in words is "two hundred sixty-three thousand, seven hundred ninety-six".