263340 has 144 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 51840.

The previous prime is 263323. The next prime is 263369. The reversal of 263340 is 43362.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2³ + 6³ + 3⁵ + 3⁶ + 4⁹ + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13851 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2²⁶³³⁴⁰ is an apocalyptic number.

263340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

263340 is an abundant number, since it is smaller than the sum of its proper divisors (784980).

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

263340 is a wasteful number, since it uses less digits than its factorization.

263340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 263340 is about 513.1666396016. The cubic root of 263340 is about 64.0971830834.

The spelling of 263340 in words is "two hundred sixty-three thousand, three hundred forty".