268597152 has 72 divisors (see below), whose sum is σ = 776395620. Its totient is φ = 88058880.

The previous prime is 268597141. The next prime is 268597169. The reversal of 268597152 is 251795862.

268597152 is a `hidden beast` number, since 2 + 6 + 8 + 597 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253573776 + 15023376 = 15924^2 + 3876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×268597152³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 268597098 and 268597107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9924 + ... + 25212.

Almost surely, 2^268597152 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 268597152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388197810).

268597152 is an abundant number, since it is smaller than the sum of its proper divisors (507798468).

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

268597152 is a wasteful number, since it uses less digits than its factorization.

268597152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15366 (or 15355 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 268597152 is about 16388.9338274337. The cubic root of 268597152 is about 645.2090759023.

The spelling of 268597152 in words is "two hundred sixty-eight million, five hundred ninety-seven thousand, one hundred fifty-two".