263631216 has 80 divisors (see below), whose sum is σ = 708684800. Its totient is φ = 84374784.

The previous prime is 263631209. The next prime is 263631227. The reversal of 263631216 is 612136362.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139365 + ... + 141243.

It is an arithmetic number, because the mean of its divisors is an integer number (8858560).

Almost surely, 2^263631216 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 263631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354342400).

263631216 is an abundant number, since it is smaller than the sum of its proper divisors (445053584).

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

263631216 is a wasteful number, since it uses less digits than its factorization.

263631216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 263631216 is about 16236.7243001783. The cubic root of 263631216 is about 641.2080178771.

Adding to 263631216 its reverse (612136362), we get a palindrome (875767578).

The spelling of 263631216 in words is "two hundred sixty-three million, six hundred thirty-one thousand, two hundred sixteen".