263580642 has 48 divisors (see below), whose sum is σ = 637815360. Its totient is φ = 81099792.

The previous prime is 263580641. The next prime is 263580643. The reversal of 263580642 is 246085362.

263580642 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 8 + 0 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (263580641) and next prime (263580643).

It is a junction number, because it is equal to n+sod(n) for n = 263580597 and 263580606.

It is not an unprimeable number, because it can be changed into a prime (263580641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14542 + ... + 27177.

It is an arithmetic number, because the mean of its divisors is an integer number (13287820).

Almost surely, 2^263580642 is an apocalyptic number.

263580642 is an abundant number, since it is smaller than the sum of its proper divisors (374234718).

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

263580642 is a wasteful number, since it uses less digits than its factorization.

263580642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41749 (or 41737 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 263580642 is about 16235.1668300637. The cubic root of 263580642 is about 641.1670129603.

The spelling of 263580642 in words is "two hundred sixty-three million, five hundred eighty thousand, six hundred forty-two".