331785120 has 192 divisors, whose sum is σ = 1118686464. Its totient is φ = 82452480.

The previous prime is 331785071. The next prime is 331785121. The reversal of 331785120 is 21587133.

It is a super-2 number, since 2×331785120² = 220162731706828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (331785121) 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 31 ways as a sum of consecutive naturals, for example, 452274 + ... + 453006.

It is an arithmetic number, because the mean of its divisors is an integer number (5826492).

Almost surely, 2^331785120 is an apocalyptic number.

331785120 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 331785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559343232).

331785120 is an abundant number, since it is smaller than the sum of its proper divisors (786901344).

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

331785120 is a wasteful number, since it uses less digits than its factorization.

331785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 331785120 is about 18214.9696678309. The cubic root of 331785120 is about 692.2861369167.

The spelling of 331785120 in words is "three hundred thirty-one million, seven hundred eighty-five thousand, one hundred twenty".