1320345600 has 336 divisors, whose sum is σ = 5005596288. Its totient is φ = 300810240.

The previous prime is 1320345599. The next prime is 1320345623. The reversal of 1320345600 is 65430231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 4300647 + ... + 4300953.

It is an arithmetic number, because the mean of its divisors is an integer number (14897608).

Almost surely, 2^1320345600 is an apocalyptic number.

1320345600 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 1320345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502798144).

1320345600 is an abundant number, since it is smaller than the sum of its proper divisors (3685250688).

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

1320345600 is an equidigital number, since it uses as much as digits as its factorization.

1320345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1320345600 is about 36336.5601013635. The cubic root of 1320345600 is about 1097.0570369380.

Adding to 1320345600 its reverse (65430231), we get a palindrome (1385775831).

The spelling of 1320345600 in words is "one billion, three hundred twenty million, three hundred forty-five thousand, six hundred".