268712576 has 64 divisors (see below), whose sum is σ = 588621600. Its totient is φ = 121175040.

The previous prime is 268712567. The next prime is 268712599. The reversal of 268712576 is 675217862.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 195026 + ... + 196398.

Almost surely, 2^268712576 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 268712576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294310800).

268712576 is an abundant number, since it is smaller than the sum of its proper divisors (319909024).

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

268712576 is a wasteful number, since it uses less digits than its factorization.

268712576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1525 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 268712576 is about 16392.4548497167. The cubic root of 268712576 is about 645.3014843619.

The spelling of 268712576 in words is "two hundred sixty-eight million, seven hundred twelve thousand, five hundred seventy-six".