268681410 has 48 divisors (see below), whose sum is σ = 701550720. Its totient is φ = 71342880.

The previous prime is 268681409. The next prime is 268681411. The reversal of 268681410 is 14186862.

It is an interprime number because it is at equal distance from previous prime (268681409) and next prime (268681411).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268681411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15265 + ... + 27755.

It is an arithmetic number, because the mean of its divisors is an integer number (14615640).

Almost surely, 2^268681410 is an apocalyptic number.

268681410 is an abundant number, since it is smaller than the sum of its proper divisors (432869310).

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

268681410 is a wasteful number, since it uses less digits than its factorization.

268681410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12743 (or 12740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 268681410 is about 16391.5042018724. The cubic root of 268681410 is about 645.2765354693.

The spelling of 268681410 in words is "two hundred sixty-eight million, six hundred eighty-one thousand, four hundred ten".