268686752 has 48 divisors (see below), whose sum is σ = 558613440. Its totient is φ = 126862848.

The previous prime is 268686749. The next prime is 268686757. The reversal of 268686752 is 257686862.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268686752.

It is not an unprimeable number, because it can be changed into a prime (268686757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277373 + ... + 278339.

It is an arithmetic number, because the mean of its divisors is an integer number (11637780).

Almost surely, 2^268686752 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 268686752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279306720).

268686752 is an abundant number, since it is smaller than the sum of its proper divisors (289926688).

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

268686752 is a wasteful number, since it uses less digits than its factorization.

268686752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1445 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 50.

The square root of 268686752 is about 16391.6671513303. The cubic root of 268686752 is about 645.2808119646.

The spelling of 268686752 in words is "two hundred sixty-eight million, six hundred eighty-six thousand, seven hundred fifty-two".