268204608 has 280 divisors, whose sum is σ = 958900800. Its totient is φ = 72410112.

The previous prime is 268204583. The next prime is 268204639. The reversal of 268204608 is 806402862.

268204608 is a `hidden beast` number, since 26 + 8 + 20 + 4 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 689278 + ... + 689666.

Almost surely, 2^268204608 is an apocalyptic number.

268204608 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 268204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479450400).

268204608 is an abundant number, since it is smaller than the sum of its proper divisors (690696192).

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

268204608 is a wasteful number, since it uses less digits than its factorization.

268204608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 268204608 is about 16376.9535628578. The cubic root of 268204608 is about 644.8946069008.

The spelling of 268204608 in words is "two hundred sixty-eight million, two hundred four thousand, six hundred eight".