268580934 has 40 divisors (see below), whose sum is σ = 604255608. Its totient is φ = 89164800.

The previous prime is 268580933. The next prime is 268580951. The reversal of 268580934 is 439085862.

268580934 is a `hidden beast` number, since 2 + 68 + 580 + 9 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 268580934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268580933) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38409 + ... + 44859.

Almost surely, 2^268580934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268580934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302127804).

268580934 is an abundant number, since it is smaller than the sum of its proper divisors (335674674).

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

268580934 is a wasteful number, since it uses less digits than its factorization.

268580934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 268580934 is about 16388.4390348807. The cubic root of 268580934 is about 645.1960896496.

The spelling of 268580934 in words is "two hundred sixty-eight million, five hundred eighty thousand, nine hundred thirty-four".