268724544 has 168 divisors, whose sum is σ = 802660320. Its totient is φ = 79242240.

The previous prime is 268724513. The next prime is 268724549. The reversal of 268724544 is 445427862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 268724496 and 268724505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268724549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998842 + ... + 999110.

It is an arithmetic number, because the mean of its divisors is an integer number (4777740).

Almost surely, 2^268724544 is an apocalyptic number.

268724544 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 268724544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401330160).

268724544 is an abundant number, since it is smaller than the sum of its proper divisors (533935776).

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

268724544 is a wasteful number, since it uses less digits than its factorization.

268724544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 268724544 is about 16392.8198916477. The cubic root of 268724544 is about 645.3110644290.

The spelling of 268724544 in words is "two hundred sixty-eight million, seven hundred twenty-four thousand, five hundred forty-four".