1320079488 has 256 divisors, whose sum is σ = 4436624640. Its totient is φ = 338411520.

The previous prime is 1320079469. The next prime is 1320079543. The reversal of 1320079488 is 8849700231.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1292418 + ... + 1293438.

It is an arithmetic number, because the mean of its divisors is an integer number (17330565).

Almost surely, 2^1320079488 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 1320079488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218312320).

1320079488 is an abundant number, since it is smaller than the sum of its proper divisors (3116545152).

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

1320079488 is a wasteful number, since it uses less digits than its factorization.

1320079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1320079488 is about 36332.8981502990. The cubic root of 1320079488 is about 1096.9833290498.

The spelling of 1320079488 in words is "one billion, three hundred twenty million, seventy-nine thousand, four hundred eighty-eight".