263688048 has 280 divisors, whose sum is σ = 865236288. Its totient is φ = 77262336.

The previous prime is 263687993. The next prime is 263688053. The reversal of 263688048 is 840886362.

It is a happy number.

263688048 is a `hidden beast` number, since 2 + 636 + 8 + 8 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 263687994 and 263688012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5610361 + ... + 5610407.

Almost surely, 2^263688048 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 263688048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432618144).

263688048 is an abundant number, since it is smaller than the sum of its proper divisors (601548240).

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

263688048 is a wasteful number, since it uses less digits than its factorization.

263688048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 263688048 is about 16238.4743125701. The cubic root of 263688048 is about 641.2540904633.

The spelling of 263688048 in words is "two hundred sixty-three million, six hundred eighty-eight thousand, forty-eight".