268681578 has 64 divisors (see below), whose sum is σ = 610070400. Its totient is φ = 78140160.

The previous prime is 268681573. The next prime is 268681627. The reversal of 268681578 is 875186862.

268681578 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 268681578.

It is not an unprimeable number, because it can be changed into a prime (268681571) 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, 438000 + ... + 438612.

It is an arithmetic number, because the mean of its divisors is an integer number (9532350).

Almost surely, 2^268681578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268681578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305035200).

268681578 is an abundant number, since it is smaller than the sum of its proper divisors (341388822).

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

268681578 is a wasteful number, since it uses less digits than its factorization.

268681578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887.

The product of its digits is 1290240, while the sum is 51.

The square root of 268681578 is about 16391.5093264775. The cubic root of 268681578 is about 645.2766699612.

The spelling of 268681578 in words is "two hundred sixty-eight million, six hundred eighty-one thousand, five hundred seventy-eight".