263874 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 76032.

The previous prime is 263869. The next prime is 263881. The reversal of 263874 is 478362.

It is a d-powerful number, because it can be written as 2 + 6⁴ + 8 + 3⁴ + 7³ + 4⁹ .

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 263874.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227 + ... + 1425.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2²⁶³⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

263874 is an abundant number, since it is smaller than the sum of its proper divisors (340926).

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

263874 is a wasteful number, since it uses less digits than its factorization.

263874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234.

The product of its digits is 8064, while the sum is 30.

The square root of 263874 is about 513.6866749294. The cubic root of 263874 is about 64.1404791848.

The spelling of 263874 in words is "two hundred sixty-three thousand, eight hundred seventy-four".