263940 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 68224.

The previous prime is 263933. The next prime is 263941. The reversal of 263940 is 49362.

263940 is nontrivially palindromic in base 16.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 263940.

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

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 15 ways as a sum of consecutive naturals, for example, 3139 + ... + 3221.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2²⁶³⁹⁴⁰ is an apocalyptic number.

263940 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 263940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

263940 is an abundant number, since it is smaller than the sum of its proper divisors (498108).

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

263940 is a wasteful number, since it uses less digits than its factorization.

263940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 263940 is about 513.7509124079. The cubic root of 263940 is about 64.1458263312.

The spelling of 263940 in words is "two hundred sixty-three thousand, nine hundred forty".