1320828120 has 320 divisors, whose sum is σ = 4650639840. Its totient is φ = 335923200.

The previous prime is 1320828043. The next prime is 1320828121. The reversal of 1320828120 is 218280231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320828121) 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 79 ways as a sum of consecutive naturals, for example, 8103159 + ... + 8103321.

Almost surely, 2^1320828120 is an apocalyptic number.

1320828120 is a gapful number since it is divisible by the number (10) 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 1320828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325319920).

1320828120 is an abundant number, since it is smaller than the sum of its proper divisors (3329811720).

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

1320828120 is a wasteful number, since it uses less digits than its factorization.

1320828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1320828120 is about 36343.1990886878. The cubic root of 1320828120 is about 1097.1906604102.

It can be divided in two parts, 13208 and 28120, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 1320828120 in words is "one billion, three hundred twenty million, eight hundred twenty-eight thousand, one hundred twenty".