263568672 has 72 divisors (see below), whose sum is σ = 766990224. Its totient is φ = 85809024.

The previous prime is 263568671. The next prime is 263568673. The reversal of 263568672 is 276865362.

It is a happy number.

263568672 is a `hidden beast` number, since 2 + 635 + 6 + 8 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (263568671) and next prime (263568673).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (263568671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1743 + ... + 23025.

It is an arithmetic number, because the mean of its divisors is an integer number (10652642).

Almost surely, 2^263568672 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 263568672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383495112).

263568672 is an abundant number, since it is smaller than the sum of its proper divisors (503421552).

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

263568672 is a wasteful number, since it uses less digits than its factorization.

263568672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21342 (or 21331 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 263568672 is about 16234.7981816837. The cubic root of 263568672 is about 641.1573070309.

The spelling of 263568672 in words is "two hundred sixty-three million, five hundred sixty-eight thousand, six hundred seventy-two".