331028640 has 384 divisors, whose sum is σ = 1264032000. Its totient is φ = 80621568.

The previous prime is 331028609. The next prime is 331028653. The reversal of 331028640 is 46820133.

It is a happy number.

331028640 is a `hidden beast` number, since 3 + 3 + 10 + 2 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3036906 + ... + 3037014.

It is an arithmetic number, because the mean of its divisors is an integer number (3291750).

Almost surely, 2^331028640 is an apocalyptic number.

331028640 is a gapful number since it is divisible by the number (30) 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 331028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632016000).

331028640 is an abundant number, since it is smaller than the sum of its proper divisors (933003360).

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

331028640 is a wasteful number, since it uses less digits than its factorization.

331028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 331028640 is about 18194.1924800196. The cubic root of 331028640 is about 691.7595921664.

Adding to 331028640 its reverse (46820133), we get a palindrome (377848773).

The spelling of 331028640 in words is "three hundred thirty-one million, twenty-eight thousand, six hundred forty".