268683408 has 120 divisors (see below), whose sum is σ = 904654400. Its totient is φ = 72721152.

The previous prime is 268683397. The next prime is 268683413. The reversal of 268683408 is 804386862.

It is a happy number.

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, 12138 + ... + 26166.

Almost surely, 2^268683408 is an apocalyptic number.

268683408 is a gapful number since it is divisible by the number (28) 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 268683408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452327200).

268683408 is an abundant number, since it is smaller than the sum of its proper divisors (635970992).

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

268683408 is a wasteful number, since it uses less digits than its factorization.

268683408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14069 (or 14060 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 268683408 is about 16391.5651479656. The cubic root of 268683408 is about 645.2781349588.

It can be divided in two parts, 26868 and 3408, that added together give a square (30276 = 174²).

The spelling of 268683408 in words is "two hundred sixty-eight million, six hundred eighty-three thousand, four hundred eight".