268858590 has 192 divisors, whose sum is σ = 882524160. Its totient is φ = 51528960.

The previous prime is 268858589. The next prime is 268858591. The reversal of 268858590 is 95858862.

It is an interprime number because it is at equal distance from previous prime (268858589) and next prime (268858591).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268858591) 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 95 ways as a sum of consecutive naturals, for example, 209571 + ... + 210849.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^268858590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268858590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

268858590 is an abundant number, since it is smaller than the sum of its proper divisors (613665570).

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

268858590 is a wasteful number, since it uses less digits than its factorization.

268858590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The square root of 268858590 is about 16396.9079402185. The cubic root of 268858590 is about 645.4183452734.

It can be divided in two parts, 268 and 858590, that added together give a palindrome (858858).

The spelling of 268858590 in words is "two hundred sixty-eight million, eight hundred fifty-eight thousand, five hundred ninety".