268142184 has 64 divisors (see below), whose sum is σ = 749678400. Its totient is φ = 88800192.

The previous prime is 268142183. The next prime is 268142209. The reversal of 268142184 is 481241862.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268142183) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29959 + ... + 37865.

It is an arithmetic number, because the mean of its divisors is an integer number (11713725).

Almost surely, 2^268142184 is an apocalyptic number.

268142184 is a gapful number since it is divisible by the number (24) 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 268142184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374839200).

268142184 is an abundant number, since it is smaller than the sum of its proper divisors (481536216).

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

268142184 is a wasteful number, since it uses less digits than its factorization.

268142184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8069 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 268142184 is about 16375.0476029842. The cubic root of 268142184 is about 644.8445704444.

The spelling of 268142184 in words is "two hundred sixty-eight million, one hundred forty-two thousand, one hundred eighty-four".