263742668 has 48 divisors (see below), whose sum is σ = 557856768. Its totient is φ = 106704000.

The previous prime is 263742659. The next prime is 263742671. The reversal of 263742668 is 866247362.

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, 31883 + ... + 39293.

It is an arithmetic number, because the mean of its divisors is an integer number (11622016).

Almost surely, 2^263742668 is an apocalyptic number.

263742668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 263742668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278928384).

263742668 is an abundant number, since it is smaller than the sum of its proper divisors (294114100).

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

263742668 is a wasteful number, since it uses less digits than its factorization.

263742668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 7492 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 263742668 is about 16240.1560337332. The cubic root of 263742668 is about 641.2983635865.

The spelling of 263742668 in words is "two hundred sixty-three million, seven hundred forty-two thousand, six hundred sixty-eight".