1320283008 has 192 divisors, whose sum is σ = 4242775680. Its totient is φ = 390620160.

The previous prime is 1320282991. The next prime is 1320283033. The reversal of 1320283008 is 8003820231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543685 + ... + 546107.

It is an arithmetic number, because the mean of its divisors is an integer number (22097790).

Almost surely, 2^1320283008 is an apocalyptic number.

1320283008 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 1320283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121387840).

1320283008 is an abundant number, since it is smaller than the sum of its proper divisors (2922492672).

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

1320283008 is a wasteful number, since it uses less digits than its factorization.

1320283008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1320283008 is about 36335.6988098481. The cubic root of 1320283008 is about 1097.0397010528.

The spelling of 1320283008 in words is "one billion, three hundred twenty million, two hundred eighty-three thousand, eight".