1320084000 has 384 divisors, whose sum is σ = 5094835200. Its totient is φ = 330854400.

The previous prime is 1320083977. The next prime is 1320084001. The reversal of 1320084000 is 4800231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1320084001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835641 + ... + 1836359.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^1320084000 is an apocalyptic number.

1320084000 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 1320084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1320084000 is an abundant number, since it is smaller than the sum of its proper divisors (3774751200).

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

1320084000 is a wasteful number, since it uses less digits than its factorization.

1320084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1320084000 is about 36332.9602427328. The cubic root of 1320084000 is about 1096.9845788692.

Adding to 1320084000 its reverse (4800231), we get a palindrome (1324884231).

The spelling of 1320084000 in words is "one billion, three hundred twenty million, eighty-four thousand".