268812160 has 128 divisors (see below), whose sum is σ = 703261440. Its totient is φ = 97812480.

The previous prime is 268812149. The next prime is 268812161. The reversal of 268812160 is 61218862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268812161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336882 + ... + 337678.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2^268812160 is an apocalyptic number.

268812160 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 268812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

268812160 is an abundant number, since it is smaller than the sum of its proper divisors (434449280).

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

268812160 is a wasteful number, since it uses less digits than its factorization.

268812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 268812160 is about 16395.4920633691. The cubic root of 268812160 is about 645.3811900549.

The spelling of 268812160 in words is "two hundred sixty-eight million, eight hundred twelve thousand, one hundred sixty".