268856406 has 96 divisors (see below), whose sum is σ = 722362368. Its totient is φ = 70372800.

The previous prime is 268856387. The next prime is 268856437. The reversal of 268856406 is 604658862.

268856406 is a `hidden beast` number, since 2 + 6 + 88 + 564 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246795 + ... + 247881.

It is an arithmetic number, because the mean of its divisors is an integer number (7524608).

Almost surely, 2^268856406 is an apocalyptic number.

268856406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 268856406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361181184).

268856406 is an abundant number, since it is smaller than the sum of its proper divisors (453505962).

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

268856406 is a wasteful number, since it uses less digits than its factorization.

268856406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 268856406 is about 16396.8413421610. The cubic root of 268856406 is about 645.4165976416.

The spelling of 268856406 in words is "two hundred sixty-eight million, eight hundred fifty-six thousand, four hundred six".