268619264 has 80 divisors (see below), whose sum is σ = 576726480. Its totient is φ = 124600320.

The previous prime is 268619161. The next prime is 268619269. The reversal of 268619264 is 462916862.

268619264 = T₁₃₁ + T₁₃₂ + ... + T₁₁₇₂.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268619269) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 515324 + ... + 515844.

It is an arithmetic number, because the mean of its divisors is an integer number (7209081).

Almost surely, 2^268619264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268619264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288363240).

268619264 is an abundant number, since it is smaller than the sum of its proper divisors (308107216).

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

268619264 is an equidigital number, since it uses as much as digits as its factorization.

268619264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 595 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 268619264 is about 16389.6084150903. The cubic root of 268619264 is about 645.2267808202.

The spelling of 268619264 in words is "two hundred sixty-eight million, six hundred nineteen thousand, two hundred sixty-four".