263688960 has 72 divisors (see below), whose sum is σ = 842168880. Its totient is φ = 70316032.

The previous prime is 263688947. The next prime is 263688979. The reversal of 263688960 is 69886362.

263688960 is digitally balanced in base 2, 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30495 + ... + 38174.

It is an arithmetic number, because the mean of its divisors is an integer number (11696790).

Almost surely, 2^263688960 is an apocalyptic number.

263688960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263688960 is an abundant number, since it is smaller than the sum of its proper divisors (578479920).

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

263688960 is an equidigital number, since it uses as much as digits as its factorization.

263688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68693 (or 68679 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 263688960 is about 16238.5023940017. The cubic root of 263688960 is about 641.2548297498.

The spelling of 263688960 in words is "two hundred sixty-three million, six hundred eighty-eight thousand, nine hundred sixty".