263923968 has 144 divisors (see below), whose sum is σ = 875943936. Its totient is φ = 68536320.

The previous prime is 263923951. The next prime is 263924053. The reversal of 263923968 is 869329362.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56905 + ... + 61367.

It is an arithmetic number, because the mean of its divisors is an integer number (6082944).

Almost surely, 2^263923968 is an apocalyptic number.

263923968 is a gapful number since it is divisible by the number (28) 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 263923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437971968).

263923968 is an abundant number, since it is smaller than the sum of its proper divisors (612019968).

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

263923968 is a wasteful number, since it uses less digits than its factorization.

263923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4486 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 263923968 is about 16245.7369177271. The cubic root of 263923968 is about 641.4452754270.

The spelling of 263923968 in words is "two hundred sixty-three million, nine hundred twenty-three thousand, nine hundred sixty-eight".