331031064 has 192 divisors, whose sum is σ = 1057190400. Its totient is φ = 85591296.

The previous prime is 331031017. The next prime is 331031069. The reversal of 331031064 is 460130133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 331031064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331031069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901809 + ... + 902175.

It is an arithmetic number, because the mean of its divisors is an integer number (5506200).

Almost surely, 2^331031064 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 331031064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528595200).

331031064 is an abundant number, since it is smaller than the sum of its proper divisors (726159336).

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

331031064 is a wasteful number, since it uses less digits than its factorization.

331031064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 331031064 is about 18194.2590945606. The cubic root of 331031064 is about 691.7612806620.

Adding to 331031064 its reverse (460130133), we get a palindrome (791161197).

The spelling of 331031064 in words is "three hundred thirty-one million, thirty-one thousand, sixty-four".