1320869088 has 432 divisors, whose sum is σ = 4875945984. Its totient is φ = 335301120.

The previous prime is 1320868981. The next prime is 1320869089. The reversal of 1320869088 is 8809680231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320869089) 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 71 ways as a sum of consecutive naturals, for example, 10400481 + ... + 10400607.

It is an arithmetic number, because the mean of its divisors is an integer number (11286912).

Almost surely, 2^1320869088 is an apocalyptic number.

1320869088 is a gapful number since it is divisible by the number (18) 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 1320869088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437972992).

1320869088 is an abundant number, since it is smaller than the sum of its proper divisors (3555076896).

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

1320869088 is a wasteful number, since it uses less digits than its factorization.

1320869088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1320869088 is about 36343.7627110898. The cubic root of 1320869088 is about 1097.2020041123.

The spelling of 1320869088 in words is "one billion, three hundred twenty million, eight hundred sixty-nine thousand, eighty-eight".