268394640 has 160 divisors (see below), whose sum is σ = 888693120. Its totient is φ = 66772992.

The previous prime is 268394639. The next prime is 268394663. The reversal of 268394640 is 46493862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 268394592 and 268394601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640351 + ... + 640769.

It is an arithmetic number, because the mean of its divisors is an integer number (5554332).

Almost surely, 2^268394640 is an apocalyptic number.

268394640 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 268394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444346560).

268394640 is an abundant number, since it is smaller than the sum of its proper divisors (620298480).

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

268394640 is a wasteful number, since it uses less digits than its factorization.

268394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 268394640 is about 16382.7543471786. The cubic root of 268394640 is about 645.0468807941.

The spelling of 268394640 in words is "two hundred sixty-eight million, three hundred ninety-four thousand, six hundred forty".