1327031640 has 256 divisors, whose sum is σ = 4957632000. Its totient is φ = 312906240.

The previous prime is 1327031633. The next prime is 1327031669. The reversal of 1327031640 is 461307231.

1327031640 is a `hidden beast` number, since 13 + 2 + 7 + 0 + 3 + 1 + 640 = 666.

It is a super-2 number, since 2×1327031640² = 3522025947122179200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438051 + ... + 441069.

It is an arithmetic number, because the mean of its divisors is an integer number (19365750).

Almost surely, 2^1327031640 is an apocalyptic number.

1327031640 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 1327031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478816000).

1327031640 is an abundant number, since it is smaller than the sum of its proper divisors (3630600360).

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

1327031640 is a wasteful number, since it uses less digits than its factorization.

1327031640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3077 counting only the distinct ones).

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

The square root of 1327031640 is about 36428.4454787739. The cubic root of 1327031640 is about 1098.9056996095.

Adding to 1327031640 its reverse (461307231), we get a palindrome (1788338871).

The spelling of 1327031640 in words is "one billion, three hundred twenty-seven million, thirty-one thousand, six hundred forty".