268684640 has 144 divisors (see below), whose sum is σ = 756523152. Its totient is φ = 89865216.

The previous prime is 268684627. The next prime is 268684651. The reversal of 268684640 is 46486862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268684591 and 268684600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336722 + ... + 337518.

It is an arithmetic number, because the mean of its divisors is an integer number (5253633).

Almost surely, 2^268684640 is an apocalyptic number.

268684640 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 268684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378261576).

268684640 is an abundant number, since it is smaller than the sum of its proper divisors (487838512).

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

268684640 is a wasteful number, since it uses less digits than its factorization.

268684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 268684640 is about 16391.6027282264. The cubic root of 268684640 is about 645.2791212267.

The spelling of 268684640 in words is "two hundred sixty-eight million, six hundred eighty-four thousand, six hundred forty".