331284168 has 240 divisors, whose sum is σ = 1036401300. Its totient is φ = 98703360.

The previous prime is 331284167. The next prime is 331284179. The reversal of 331284168 is 861482133.

It can be written as a sum of positive squares in 6 ways, for example, as 167495364 + 163788804 = 12942^2 + 12798^2 .

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 (331284167) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5430858 + ... + 5430918.

Almost surely, 2^331284168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331284168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518200650).

331284168 is an abundant number, since it is smaller than the sum of its proper divisors (705117132).

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

331284168 is a wasteful number, since it uses less digits than its factorization.

331284168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 331284168 is about 18201.2133661468. The cubic root of 331284168 is about 691.9375410009.

The spelling of 331284168 in words is "three hundred thirty-one million, two hundred eighty-four thousand, one hundred sixty-eight".