268589540 has 24 divisors (see below), whose sum is σ = 570379320. Its totient is φ = 106227968.

The previous prime is 268589509. The next prime is 268589551. The reversal of 268589540 is 45985862.

It can be written as a sum of positive squares in 4 ways, for example, as 3290596 + 265298944 = 1814^2 + 16288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73667 + ... + 77226.

It is an arithmetic number, because the mean of its divisors is an integer number (23765805).

Almost surely, 2^268589540 is an apocalyptic number.

268589540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268589540 is an abundant number, since it is smaller than the sum of its proper divisors (301789780).

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

268589540 is a wasteful number, since it uses less digits than its factorization.

268589540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150991 (or 150989 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 268589540 is about 16388.7015959166. The cubic root of 268589540 is about 645.2029808043.

The spelling of 268589540 in words is "two hundred sixty-eight million, five hundred eighty-nine thousand, five hundred forty".