263160 has 96 divisors (see below), whose sum is σ = 926640. Its totient is φ = 64512.

The previous prime is 263129. The next prime is 263167. The reversal of 263160 is 61362.

263160 = 13² + 14² + ... + 92².

It is a happy number.

263160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263167) 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, 6099 + ... + 6141.

2²⁶³¹⁶⁰ is an apocalyptic number.

263160 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 263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463320).

263160 is an abundant number, since it is smaller than the sum of its proper divisors (663480).

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

263160 is a wasteful number, since it uses less digits than its factorization.

263160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 263160 is about 512.9912279952. The cubic root of 263160 is about 64.0825757029.

The spelling of 263160 in words is "two hundred sixty-three thousand, one hundred sixty".