1321430760 has 320 divisors, whose sum is σ = 4839080400. Its totient is φ = 321490944.

The previous prime is 1321430741. The next prime is 1321430767. The reversal of 1321430760 is 670341231.

It can be written as a sum of positive squares in 8 ways, for example, as 710648964 + 610781796 = 26658^2 + 24714^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1321430767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5770326 + ... + 5770554.

Almost surely, 2^1321430760 is an apocalyptic number.

1321430760 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 1321430760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419540200).

1321430760 is an abundant number, since it is smaller than the sum of its proper divisors (3517649640).

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

1321430760 is a wasteful number, since it uses less digits than its factorization.

1321430760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1321430760 is about 36351.4891029240. The cubic root of 1321430760 is about 1097.3575028211.

Adding to 1321430760 its reverse (670341231), we get a palindrome (1991771991).

The spelling of 1321430760 in words is "one billion, three hundred twenty-one million, four hundred thirty thousand, seven hundred sixty".