263353664 has 112 divisors (see below), whose sum is σ = 639348480. Its totient is φ = 105062400.

The previous prime is 263353663. The next prime is 263353667. The reversal of 263353664 is 466353362.

263353664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263353663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149902 + ... + 1150130.

Almost surely, 2^263353664 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 263353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319674240).

263353664 is an abundant number, since it is smaller than the sum of its proper divisors (375994816).

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

263353664 is a wasteful number, since it uses less digits than its factorization.

263353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its digits is 233280, while the sum is 38.

The square root of 263353664 is about 16228.1750052185. The cubic root of 263353664 is about 640.9829167397.

The spelling of 263353664 in words is "two hundred sixty-three million, three hundred fifty-three thousand, six hundred sixty-four".