263934 has 48 divisors (see below), whose sum is σ = 658944. Its totient is φ = 75600.

The previous prime is 263933. The next prime is 263941. The reversal of 263934 is 439362.

It is a super-2 number, since 2×263934² = 139322312712, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 263898 and 263907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6117 + ... + 6159.

It is an arithmetic number, because the mean of its divisors is an integer number (13728).

2²⁶³⁹³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329472).

263934 is an abundant number, since it is smaller than the sum of its proper divisors (395010).

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

263934 is a wasteful number, since it uses less digits than its factorization.

263934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 90 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 263934 is about 513.7450729691. The cubic root of 263934 is about 64.1453402638.

It can be divided in two parts, 2 and 63934, that added together give a palindrome (63936).

The spelling of 263934 in words is "two hundred sixty-three thousand, nine hundred thirty-four".