1327068640 has 96 divisors (see below), whose sum is σ = 3254537664. Its totient is φ = 510935040.

The previous prime is 1327068619. The next prime is 1327068667. The reversal of 1327068640 is 468607231.

It is a super-2 number, since 2×1327068640² = 3522222350542899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1327068640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573085 + ... + 575395.

It is an arithmetic number, because the mean of its divisors is an integer number (33901434).

Almost surely, 2^1327068640 is an apocalyptic number.

1327068640 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 1327068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627268832).

1327068640 is an abundant number, since it is smaller than the sum of its proper divisors (1927469024).

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

1327068640 is a wasteful number, since it uses less digits than its factorization.

1327068640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 1327068640 is about 36428.9533201271. The cubic root of 1327068640 is about 1098.9159126624.

The spelling of 1327068640 in words is "one billion, three hundred twenty-seven million, sixty-eight thousand, six hundred forty".