268417080 has 192 divisors, whose sum is σ = 940118400. Its totient is φ = 66170880.

The previous prime is 268417057. The next prime is 268417087. The reversal of 268417080 is 80714862.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268417087) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 372961 + ... + 373679.

It is an arithmetic number, because the mean of its divisors is an integer number (4896450).

Almost surely, 2^268417080 is an apocalyptic number.

268417080 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 268417080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

268417080 is an abundant number, since it is smaller than the sum of its proper divisors (671701320).

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

268417080 is a wasteful number, since it uses less digits than its factorization.

268417080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 268417080 is about 16383.4391993867. The cubic root of 268417080 is about 645.0648573685.

The spelling of 268417080 in words is "two hundred sixty-eight million, four hundred seventeen thousand, eighty".