263488968 has 36 divisors (see below), whose sum is σ = 713989185. Its totient is φ = 87783744.

The previous prime is 263488963. The next prime is 263488991. The reversal of 263488968 is 869884362.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

263488968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 220166244 + 43322724 = 14838^2 + 6582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11478.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (263488961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136780 + ... + 138692.

Almost surely, 2^263488968 is an apocalyptic number.

It is an amenable number.

263488968 is an abundant number, since it is smaller than the sum of its proper divisors (450500217).

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

263488968 is an equidigital number, since it uses as much as digits as its factorization.

263488968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 1918 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 263488968 is about 16232.3432689184. The cubic root of 263488968 is about 641.0926711826.

The spelling of 263488968 in words is "two hundred sixty-three million, four hundred eighty-eight thousand, nine hundred sixty-eight".