268170080 has 96 divisors (see below), whose sum is σ = 658790496. Its totient is φ = 103071744.

The previous prime is 268170061. The next prime is 268170101. The reversal of 268170080 is 80071862.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 574007 + ... + 574473.

It is an arithmetic number, because the mean of its divisors is an integer number (6862401).

Almost surely, 2^268170080 is an apocalyptic number.

268170080 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 268170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

268170080 is an abundant number, since it is smaller than the sum of its proper divisors (390620416).

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

268170080 is a wasteful number, since it uses less digits than its factorization.

268170080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 268170080 is about 16375.8993646151. The cubic root of 268170080 is about 644.8669316659.

The spelling of 268170080 in words is "two hundred sixty-eight million, one hundred seventy thousand, eighty".