263542032 has 160 divisors (see below), whose sum is σ = 822447360. Its totient is φ = 80317440.

The previous prime is 263542003. The next prime is 263542033. The reversal of 263542032 is 230245362.

263542032 is a `hidden beast` number, since 2 + 635 + 4 + 20 + 3 + 2 = 666.

263542032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 263541987 and 263542005.

It is not an unprimeable number, because it can be changed into a prime (263542033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937732 + ... + 938012.

It is an arithmetic number, because the mean of its divisors is an integer number (5140296).

Almost surely, 2^263542032 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 263542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411223680).

263542032 is an abundant number, since it is smaller than the sum of its proper divisors (558905328).

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

263542032 is a wasteful number, since it uses less digits than its factorization.

263542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 263542032 is about 16233.9777011058. The cubic root of 263542032 is about 641.1357048098.

Adding to 263542032 its reverse (230245362), we get a palindrome (493787394).

The spelling of 263542032 in words is "two hundred sixty-three million, five hundred forty-two thousand, thirty-two".