268544160 has 144 divisors (see below), whose sum is σ = 950485536. Its totient is φ = 71601408.

The previous prime is 268544149. The next prime is 268544173. The reversal of 268544160 is 61445862.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35427 + ... + 42333.

It is an arithmetic number, because the mean of its divisors is an integer number (6600594).

Almost surely, 2^268544160 is an apocalyptic number.

268544160 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 268544160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475242768).

268544160 is an abundant number, since it is smaller than the sum of its proper divisors (681941376).

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

268544160 is an equidigital number, since it uses as much as digits as its factorization.

268544160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 268544160 is about 16387.3170470337. The cubic root of 268544160 is about 645.1666416373.

The spelling of 268544160 in words is "two hundred sixty-eight million, five hundred forty-four thousand, one hundred sixty".