268406320 has 240 divisors, whose sum is σ = 819322560. Its totient is φ = 80898048.

The previous prime is 268406311. The next prime is 268406323. The reversal of 268406320 is 23604862.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268406323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1171966 + ... + 1172194.

It is an arithmetic number, because the mean of its divisors is an integer number (3413844).

Almost surely, 2^268406320 is an apocalyptic number.

268406320 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 268406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

268406320 is an abundant number, since it is smaller than the sum of its proper divisors (550916240).

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

268406320 is a wasteful number, since it uses less digits than its factorization.

268406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 268406320 is about 16383.1108157151. The cubic root of 268406320 is about 645.0562377101.

The spelling of 268406320 in words is "two hundred sixty-eight million, four hundred six thousand, three hundred twenty".