268771590 has 24 divisors (see below), whose sum is σ = 698806368. Its totient is φ = 71672400.

The previous prime is 268771561. The next prime is 268771603. The reversal of 268771590 is 95177862.

It is a super-2 number, since 2×268771590² = 144476335182256200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1493086 + ... + 1493265.

It is an arithmetic number, because the mean of its divisors is an integer number (29116932).

Almost surely, 2^268771590 is an apocalyptic number.

268771590 is an abundant number, since it is smaller than the sum of its proper divisors (430034778).

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

268771590 is a wasteful number, since it uses less digits than its factorization.

268771590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986364 (or 2986361 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 268771590 is about 16394.2547863573. The cubic root of 268771590 is about 645.3487207497.

It can be divided in two parts, 268771 and 590, that added together give a square (269361 = 519²).

The spelling of 268771590 in words is "two hundred sixty-eight million, seven hundred seventy-one thousand, five hundred ninety".