268844576 has 216 divisors, whose sum is σ = 735508620. Its totient is φ = 95800320.

The previous prime is 268844573. The next prime is 268844581. The reversal of 268844576 is 675448862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 266472976 + 2371600 = 16324^2 + 1540^2 .

Its product of digits (2580480) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (268844573) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2466410 + ... + 2466518.

Almost surely, 2^268844576 is an apocalyptic number.

268844576 is a gapful number since it is divisible by the number (26) 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 268844576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367754310).

268844576 is an abundant number, since it is smaller than the sum of its proper divisors (466664044).

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

268844576 is a wasteful number, since it uses less digits than its factorization.

268844576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The square root of 268844576 is about 16396.4805979820. The cubic root of 268844576 is about 645.4071311380.

The spelling of 268844576 in words is "two hundred sixty-eight million, eight hundred forty-four thousand, five hundred seventy-six".