268085160 has 128 divisors (see below), whose sum is σ = 1021305600. Its totient is φ = 61274880.

The previous prime is 268085143. The next prime is 268085161. The reversal of 268085160 is 61580862.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (268085161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10171 + ... + 25290.

It is an arithmetic number, because the mean of its divisors is an integer number (7978950).

Almost surely, 2^268085160 is an apocalyptic number.

268085160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268085160 is an abundant number, since it is smaller than the sum of its proper divisors (753220440).

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

268085160 is a wasteful number, since it uses less digits than its factorization.

268085160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35488 (or 35478 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 268085160 is about 16373.3063246248. The cubic root of 268085160 is about 644.7988556135.

The spelling of 268085160 in words is "two hundred sixty-eight million, eighty-five thousand, one hundred sixty".