268570624 has 208 divisors, whose sum is σ = 707702400. Its totient is φ = 99090432.

The previous prime is 268570619. The next prime is 268570633. The reversal of 268570624 is 426075862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9261042 + ... + 9261070.

Almost surely, 2^268570624 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 268570624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353851200).

268570624 is an abundant number, since it is smaller than the sum of its proper divisors (439131776).

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

268570624 is a wasteful number, since it uses less digits than its factorization.

268570624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 268570624 is about 16388.1244808550. The cubic root of 268570624 is about 645.1878338430.

The spelling of 268570624 in words is "two hundred sixty-eight million, five hundred seventy thousand, six hundred twenty-four".