268093080 has 96 divisors (see below), whose sum is σ = 887805360. Its totient is φ = 70137600.

The previous prime is 268093079. The next prime is 268093093. The reversal of 268093080 is 80390862.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12055 + ... + 26105.

Almost surely, 2^268093080 is an apocalyptic number.

268093080 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 268093080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443902680).

268093080 is an abundant number, since it is smaller than the sum of its proper divisors (619712280).

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

268093080 is a wasteful number, since it uses less digits than its factorization.

268093080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14121 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 268093080 is about 16373.5481799151. The cubic root of 268093080 is about 644.8052052832.

The spelling of 268093080 in words is "two hundred sixty-eight million, ninety-three thousand, eighty".