263968 has 24 divisors (see below), whose sum is σ = 531468. Its totient is φ = 129024.

The previous prime is 263957. The next prime is 263983. The reversal of 263968 is 869362.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 21904 = 492^2 + 148^2 .

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 2280 + ... + 2392.

2²⁶³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

263968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

263968 is a wasteful number, since it uses less digits than its factorization.

263968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 263968 is about 513.7781622451. The cubic root of 263968 is about 64.1480945483.

The spelling of 263968 in words is "two hundred sixty-three thousand, nine hundred sixty-eight".