268591104 has 84 divisors (see below), whose sum is σ = 776095476. Its totient is φ = 89505792.

The previous prime is 268591097. The next prime is 268591133. The reversal of 268591104 is 401195862.

268591104 is a `hidden beast` number, since 2 + 68 + 591 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×268591104² = 144282362295877632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71907 + ... + 75549.

Almost surely, 2^268591104 is an apocalyptic number.

268591104 is a gapful number since it is divisible by the number (24) 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 268591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388047738).

268591104 is an abundant number, since it is smaller than the sum of its proper divisors (507504372).

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

268591104 is an equidigital number, since it uses as much as digits as its factorization.

268591104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 268591104 is about 16388.7493116467. The cubic root of 268591104 is about 645.2042331433.

The spelling of 268591104 in words is "two hundred sixty-eight million, five hundred ninety-one thousand, one hundred four".