1320816384 has 108 divisors (see below), whose sum is σ = 3832692136. Its totient is φ = 437446656.

The previous prime is 1320816361. The next prime is 1320816401. The reversal of 1320816384 is 4836180231.

1320816384 is a `hidden beast` number, since 13 + 2 + 0 + 8 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×1320816384³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373794 + ... + 377310.

Almost surely, 2^1320816384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916346068).

1320816384 is an abundant number, since it is smaller than the sum of its proper divisors (2511875752).

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

1320816384 is a wasteful number, since it uses less digits than its factorization.

1320816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1320816384 is about 36343.0376275842. The cubic root of 1320816384 is about 1097.1874107651.

It can be divided in two parts, 13208 and 16384, that added together give a palindrome (29592).

The spelling of 1320816384 in words is "one billion, three hundred twenty million, eight hundred sixteen thousand, three hundred eighty-four".