1320716448 has 192 divisors, whose sum is σ = 4151347200. Its totient is φ = 407151360.

The previous prime is 1320716447. The next prime is 1320716459. The reversal of 1320716448 is 8446170231.

1320716448 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 7 + 1 + 644 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1320716447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704953 + ... + 706823.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2^1320716448 is an apocalyptic number.

1320716448 is a gapful number since it is divisible by the number (18) 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 1320716448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075673600).

1320716448 is an abundant number, since it is smaller than the sum of its proper divisors (2830630752).

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

1320716448 is a wasteful number, since it uses less digits than its factorization.

1320716448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1320716448 is about 36341.6627027438. The cubic root of 1320716448 is about 1097.1597381610.

Adding to 1320716448 its reverse (8446170231), we get a palindrome (9766886679).

The spelling of 1320716448 in words is "one billion, three hundred twenty million, seven hundred sixteen thousand, four hundred forty-eight".