1321935648 has 144 divisors (see below), whose sum is σ = 3836911680. Its totient is φ = 398210560.

The previous prime is 1321935647. The next prime is 1321935701. The reversal of 1321935648 is 8465391231.

It is not an unprimeable number, because it can be changed into a prime (1321935647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3682093 + ... + 3682451.

It is an arithmetic number, because the mean of its divisors is an integer number (26645220).

Almost surely, 2^1321935648 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 1321935648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918455840).

1321935648 is an abundant number, since it is smaller than the sum of its proper divisors (2514976032).

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

1321935648 is a wasteful number, since it uses less digits than its factorization.

1321935648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 692 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 1321935648 is about 36358.4329695327. The cubic root of 1321935648 is about 1097.4972432964.

The spelling of 1321935648 in words is "one billion, three hundred twenty-one million, nine hundred thirty-five thousand, six hundred forty-eight".