1327868640 has 864 divisors, whose sum is σ = 5929114464. Its totient is φ = 278691840.

The previous prime is 1327868627. The next prime is 1327868651. The reversal of 1327868640 is 468687231.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32387020 + ... + 32387060.

It is an arithmetic number, because the mean of its divisors is an integer number (6862401).

Almost surely, 2^1327868640 is an apocalyptic number.

1327868640 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 1327868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964557232).

1327868640 is an abundant number, since it is smaller than the sum of its proper divisors (4601245824).

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

1327868640 is a wasteful number, since it uses less digits than its factorization.

1327868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1327868640 is about 36439.9319428563. The cubic root of 1327868640 is about 1099.1366890177.

It can be divided in two parts, 13278 and 68640, that added together give a palindrome (81918).

The spelling of 1327868640 in words is "one billion, three hundred twenty-seven million, eight hundred sixty-eight thousand, six hundred forty".