268205904 has 120 divisors (see below), whose sum is σ = 787262112. Its totient is φ = 88387200.

The previous prime is 268205897. The next prime is 268205941. The reversal of 268205904 is 409502862.

It is a happy number.

268205904 is a `hidden beast` number, since 2 + 68 + 2 + 0 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392347 + ... + 393029.

Almost surely, 2^268205904 is an apocalyptic number.

268205904 is a gapful number since it is divisible by the number (24) 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 268205904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393631056).

268205904 is an abundant number, since it is smaller than the sum of its proper divisors (519056208).

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

268205904 is a wasteful number, since it uses less digits than its factorization.

268205904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 268205904 is about 16376.9931306086. The cubic root of 268205904 is about 644.8956456377.

The spelling of 268205904 in words is "two hundred sixty-eight million, two hundred five thousand, nine hundred four".