1320675840 has 480 divisors, whose sum is σ = 5201292096. Its totient is φ = 318504960.

The previous prime is 1320675833. The next prime is 1320675841. The reversal of 1320675840 is 485760231.

1320675840 is a `hidden beast` number, since 13 + 2 + 0 + 67 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 1320675795 and 1320675804.

It is not an unprimeable number, because it can be changed into a prime (1320675841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842784 + ... + 6842976.

Almost surely, 2^1320675840 is an apocalyptic number.

1320675840 is a gapful number since it is divisible by the number (10) 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 1320675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600646048).

1320675840 is an abundant number, since it is smaller than the sum of its proper divisors (3880616256).

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

1320675840 is an equidigital number, since it uses as much as digits as its factorization.

1320675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1320675840 is about 36341.1040008418. The cubic root of 1320675840 is about 1097.1484932746.

The spelling of 1320675840 in words is "one billion, three hundred twenty million, six hundred seventy-five thousand, eight hundred forty".