263948 has 24 divisors (see below), whose sum is σ = 510720. Its totient is φ = 118800.

The previous prime is 263941. The next prime is 263951. The reversal of 263948 is 849362.

It is a d-powerful number, because it can be written as 2¹⁷ + 6⁵ + 9⁵ + 3 + 4⁸ + 8³ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263948.

It is not an unprimeable number, because it can be changed into a prime (263941) by changing a digit.

263948 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 7 ways as a sum of consecutive naturals, for example, 1673 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2²⁶³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

263948 is a deficient number, since it is larger than the sum of its proper divisors (246772).

263948 is a wasteful number, since it uses less digits than its factorization.

263948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 263948 is about 513.7586982232. The cubic root of 263948 is about 64.1464744096.

The spelling of 263948 in words is "two hundred sixty-three thousand, nine hundred forty-eight".