268012544 has 44 divisors (see below), whose sum is σ = 538590264. Its totient is φ = 133300224.

The previous prime is 268012541. The next prime is 268012601. The reversal of 268012544 is 445210862.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 268012544.

It is not an unprimeable number, because it can be changed into a prime (268012541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231872 + ... + 233024.

Almost surely, 2^268012544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269295132).

268012544 is an abundant number, since it is smaller than the sum of its proper divisors (270577720).

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

268012544 is a wasteful number, since it uses less digits than its factorization.

268012544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 268012544 is about 16371.0886626394. The cubic root of 268012544 is about 644.7406316497.

The spelling of 268012544 in words is "two hundred sixty-eight million, twelve thousand, five hundred forty-four".