268549344 has 360 divisors, whose sum is σ = 975865968. Its totient is φ = 70917120.

The previous prime is 268549343. The next prime is 268549381. The reversal of 268549344 is 443945862.

268549344 is a `hidden beast` number, since 2 + 68 + 549 + 3 + 44 = 666.

Its product of digits (829440) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 268549344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268549343) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6549964 + ... + 6550004.

Almost surely, 2^268549344 is an apocalyptic number.

268549344 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 268549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487932984).

268549344 is an abundant number, since it is smaller than the sum of its proper divisors (707316624).

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

268549344 is a wasteful number, since it uses less digits than its factorization.

268549344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 268549344 is about 16387.4752173726. The cubic root of 268549344 is about 645.1707930618.

The spelling of 268549344 in words is "two hundred sixty-eight million, five hundred forty-nine thousand, three hundred forty-four".