263040 has 64 divisors (see below), whose sum is σ = 844560. Its totient is φ = 69632.

The previous prime is 263023. The next prime is 263047. The reversal of 263040 is 40362.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263047) by changing a digit.

263040 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, 1852 + ... + 1988.

2²⁶³⁰⁴⁰ is an apocalyptic number.

263040 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 263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422280).

263040 is an abundant number, since it is smaller than the sum of its proper divisors (581520).

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

263040 is a wasteful number, since it uses less digits than its factorization.

263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 263040 is about 512.8742535944. The cubic root of 263040 is about 64.0728337484.

The spelling of 263040 in words is "two hundred sixty-three thousand, forty".