268540580 has 144 divisors (see below), whose sum is σ = 741182400. Its totient is φ = 80720640.

The previous prime is 268540579. The next prime is 268540583. The reversal of 268540580 is 85045862.

It is a super-2 number, since 2×268540580² = 144228086213472800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268540583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312191 + ... + 313049.

It is an arithmetic number, because the mean of its divisors is an integer number (5147100).

Almost surely, 2^268540580 is an apocalyptic number.

268540580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268540580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370591200).

268540580 is an abundant number, since it is smaller than the sum of its proper divisors (472641820).

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

268540580 is a wasteful number, since it uses less digits than its factorization.

268540580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 268540580 is about 16387.2078158544. The cubic root of 268540580 is about 645.1637746888.

The spelling of 268540580 in words is "two hundred sixty-eight million, five hundred forty thousand, five hundred eighty".