268844544 has 120 divisors (see below), whose sum is σ = 795386592. Its totient is φ = 87367680.

The previous prime is 268844531. The next prime is 268844551. The reversal of 268844544 is 445448862.

268844544 is a `hidden beast` number, since 2 + 68 + 8 + 44 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 268844544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188217 + ... + 189639.

Almost surely, 2^268844544 is an apocalyptic number.

268844544 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 268844544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397693296).

268844544 is an abundant number, since it is smaller than the sum of its proper divisors (526542048).

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

268844544 is a wasteful number, since it uses less digits than its factorization.

268844544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1469 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The square root of 268844544 is about 16396.4796221628. The cubic root of 268844544 is about 645.4071055309.

The spelling of 268844544 in words is "two hundred sixty-eight million, eight hundred forty-four thousand, five hundred forty-four".