268544640 has 512 divisors, whose sum is σ = 1110412800. Its totient is φ = 53673984.

The previous prime is 268544623. The next prime is 268544657. The reversal of 268544640 is 46445862.

It is an interprime number because it is at equal distance from previous prime (268544623) and next prime (268544657).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 5066854 + ... + 5066906.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^268544640 is an apocalyptic number.

268544640 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 268544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

268544640 is an abundant number, since it is smaller than the sum of its proper divisors (841868160).

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

268544640 is a wasteful number, since it uses less digits than its factorization.

268544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 268544640 is about 16387.3316924995. The cubic root of 268544640 is about 645.1670260307.

The spelling of 268544640 in words is "two hundred sixty-eight million, five hundred forty-four thousand, six hundred forty".