1320160800 has 288 divisors, whose sum is σ = 4949683200. Its totient is φ = 299381760.

The previous prime is 1320160781. The next prime is 1320160817. The reversal of 1320160800 is 80610231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3006981 + ... + 3007419.

It is an arithmetic number, because the mean of its divisors is an integer number (17186400).

Almost surely, 2^1320160800 is an apocalyptic number.

1320160800 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 1320160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

1320160800 is an abundant number, since it is smaller than the sum of its proper divisors (3629522400).

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

1320160800 is a wasteful number, since it uses less digits than its factorization.

1320160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1320160800 is about 36334.0171189479. The cubic root of 1320160800 is about 1097.0058519554.

The spelling of 1320160800 in words is "one billion, three hundred twenty million, one hundred sixty thousand, eight hundred".