1321006608 has 120 divisors (see below), whose sum is σ = 3854050200. Its totient is φ = 421865472.

The previous prime is 1321006601. The next prime is 1321006649. The reversal of 1321006608 is 8066001231.

It can be written as a sum of positive squares in 4 ways, for example, as 460875024 + 860131584 = 21468^2 + 29328^2 .

It is not an unprimeable number, because it can be changed into a prime (1321006601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570958 + ... + 573266.

It is an arithmetic number, because the mean of its divisors is an integer number (32117085).

Almost surely, 2^1321006608 is an apocalyptic number.

1321006608 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 1321006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927025100).

1321006608 is an abundant number, since it is smaller than the sum of its proper divisors (2533043592).

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

1321006608 is a wasteful number, since it uses less digits than its factorization.

1321006608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1321006608 is about 36345.6545958386. The cubic root of 1321006608 is about 1097.2400805537.

Adding to 1321006608 its reverse (8066001231), we get a palindrome (9387007839).

The spelling of 1321006608 in words is "one billion, three hundred twenty-one million, six thousand, six hundred eight".