1327685040 has 640 divisors, whose sum is σ = 5592499200. Its totient is φ = 285327360.

The previous prime is 1327685039. The next prime is 1327685089. The reversal of 1327685040 is 405867231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1327684986 and 1327685004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7674394 + ... + 7674566.

It is an arithmetic number, because the mean of its divisors is an integer number (8738280).

Almost surely, 2^1327685040 is an apocalyptic number.

1327685040 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 1327685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796249600).

1327685040 is an abundant number, since it is smaller than the sum of its proper divisors (4264814160).

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

1327685040 is a wasteful number, since it uses less digits than its factorization.

1327685040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1327685040 is about 36437.4126414047. The cubic root of 1327685040 is about 1099.0860286859.

The spelling of 1327685040 in words is "one billion, three hundred twenty-seven million, six hundred eighty-five thousand, forty".