330001320 has 192 divisors, whose sum is σ = 1113134400. Its totient is φ = 77608960.

The previous prime is 330001319. The next prime is 330001349. The reversal of 330001320 is 23100033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 330001296 and 330001305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3707836 + ... + 3707924.

It is an arithmetic number, because the mean of its divisors is an integer number (5797575).

Almost surely, 2^330001320 is an apocalyptic number.

330001320 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 330001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556567200).

330001320 is an abundant number, since it is smaller than the sum of its proper divisors (783133080).

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

330001320 is a wasteful number, since it uses less digits than its factorization.

330001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 330001320 is about 18165.9384563529. The cubic root of 330001320 is about 691.0432443897.

Adding to 330001320 its reverse (23100033), we get a palindrome (353101353).

It can be divided in two parts, 3300013 and 20, that added together give a palindrome (3300033).

The spelling of 330001320 in words is "three hundred thirty million, one thousand, three hundred twenty".