1312668640 has 96 divisors (see below), whose sum is σ = 3188626560. Its totient is φ = 510418944.

The previous prime is 1312668631. The next prime is 1312668641. The reversal of 1312668640 is 468662131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312668640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312668641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300456 + ... + 1301464.

It is an arithmetic number, because the mean of its divisors is an integer number (33214860).

Almost surely, 2^1312668640 is an apocalyptic number.

1312668640 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 1312668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594313280).

1312668640 is an abundant number, since it is smaller than the sum of its proper divisors (1875957920).

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

1312668640 is a wasteful number, since it uses less digits than its factorization.

1312668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 1312668640 is about 36230.7692438347. The cubic root of 1312668640 is about 1094.9266757960.

The spelling of 1312668640 in words is "one billion, three hundred twelve million, six hundred sixty-eight thousand, six hundred forty".