263268032 has 56 divisors (see below), whose sum is σ = 547268400. Its totient is φ = 125490176.

The previous prime is 263268029. The next prime is 263268037. The reversal of 263268032 is 230862362.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 263268032.

It is not an unprimeable number, because it can be changed into a prime (263268037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153194 + ... + 154902.

It is an arithmetic number, because the mean of its divisors is an integer number (9772650).

Almost surely, 2^263268032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273634200).

263268032 is an abundant number, since it is smaller than the sum of its proper divisors (284000368).

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

263268032 is a wasteful number, since it uses less digits than its factorization.

263268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 263268032 is about 16225.5364164024. The cubic root of 263268032 is about 640.9134352694.

The spelling of 263268032 in words is "two hundred sixty-three million, two hundred sixty-eight thousand, thirty-two".