1320304896 has 81 divisors (see below), whose sum is σ = 3811799901. Its totient is φ = 439520256.

The previous prime is 1320304883. The next prime is 1320304897. The reversal of 1320304896 is 6984030231.

The square root of 1320304896 is 36336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 815673600 + 504631296 = 28560^2 + 22464^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1320304896.

It is not an unprimeable number, because it can be changed into a prime (1320304897) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1743750 + ... + 1744506.

Almost surely, 2^1320304896 is an apocalyptic number.

1320304896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1320304896 is the 36336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320304896

1320304896 is an abundant number, since it is smaller than the sum of its proper divisors (2491495005).

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

1320304896 is an frugal number, since it uses more digits than its factorization.

1320304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 1320304896 is about 1097.0457633572.

Multiplying 1320304896 by its sum of digits (36), we get a square (47530976256 = 218016²).

1320304896 divided by its sum of digits (36) gives a square (36675136 = 6056²).

The spelling of 1320304896 in words is "one billion, three hundred twenty million, three hundred four thousand, eight hundred ninety-six".