263135664 has 120 divisors (see below), whose sum is σ = 807573312. Its totient is φ = 79320960.

The previous prime is 263135659. The next prime is 263135671. The reversal of 263135664 is 466531362.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447979 + ... + 448565.

Almost surely, 2^263135664 is an apocalyptic number.

263135664 is a gapful number since it is divisible by the number (24) 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 263135664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403786656).

263135664 is an abundant number, since it is smaller than the sum of its proper divisors (544437648).

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

263135664 is a wasteful number, since it uses less digits than its factorization.

263135664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 263135664 is about 16221.4569012774. The cubic root of 263135664 is about 640.8060027399.

The spelling of 263135664 in words is "two hundred sixty-three million, one hundred thirty-five thousand, six hundred sixty-four".