1320329010 has 288 divisors, whose sum is σ = 4371022656. Its totient is φ = 252806400.

The previous prime is 1320328969. The next prime is 1320329011. The reversal of 1320329010 is 109230231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1320329011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2312025 + ... + 2312595.

It is an arithmetic number, because the mean of its divisors is an integer number (15177162).

Almost surely, 2^1320329010 is an apocalyptic number.

1320329010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320329010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185511328).

1320329010 is an abundant number, since it is smaller than the sum of its proper divisors (3050693646).

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

1320329010 is a wasteful number, since it uses less digits than its factorization.

1320329010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1320329010 is about 36336.3318181679. The cubic root of 1320329010 is about 1097.0524421176.

Adding to 1320329010 its reverse (109230231), we get a palindrome (1429559241).

The spelling of 1320329010 in words is "one billion, three hundred twenty million, three hundred twenty-nine thousand, ten".