268564720 has 40 divisors (see below), whose sum is σ = 625942080. Its totient is φ = 107162880.

The previous prime is 268564693. The next prime is 268564783. The reversal of 268564720 is 27465862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30586 + ... + 38374.

It is an arithmetic number, because the mean of its divisors is an integer number (15648552).

Almost surely, 2^268564720 is an apocalyptic number.

268564720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268564720 is an abundant number, since it is smaller than the sum of its proper divisors (357377360).

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

268564720 is a wasteful number, since it uses less digits than its factorization.

268564720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 268564720 is about 16387.9443494296. The cubic root of 268564720 is about 645.1831060774.

The spelling of 268564720 in words is "two hundred sixty-eight million, five hundred sixty-four thousand, seven hundred twenty".