263904 has 24 divisors (see below), whose sum is σ = 693000. Its totient is φ = 87936.

The previous prime is 263899. The next prime is 263909. The reversal of 263904 is 409362.

263904 = 30² + 31² + ... + 93².

It is an interprime number because it is at equal distance from previous prime (263899) and next prime (263909).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263909) by changing a digit.

263904 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 3 ways as a sum of consecutive naturals, for example, 1279 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (28875).

2²⁶³⁹⁰⁴ is an apocalyptic number.

263904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

263904 is an abundant number, since it is smaller than the sum of its proper divisors (429096).

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

263904 is a wasteful number, since it uses less digits than its factorization.

263904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 263904 is about 513.7158747790. The cubic root of 263904 is about 64.1429098164.

The spelling of 263904 in words is "two hundred sixty-three thousand, nine hundred four".