1327568004 has 144 divisors (see below), whose sum is σ = 4025548800. Its totient is φ = 360676800.

The previous prime is 1327567933. The next prime is 1327568023. The reversal of 1327568004 is 4008657231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1327568004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152829 + ... + 1153979.

It is an arithmetic number, because the mean of its divisors is an integer number (27955200).

Almost surely, 2^1327568004 is an apocalyptic number.

1327568004 is a gapful number since it is divisible by the number (14) 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 1327568004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012774400).

1327568004 is an abundant number, since it is smaller than the sum of its proper divisors (2697980796).

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

1327568004 is a wasteful number, since it uses less digits than its factorization.

1327568004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1385 counting only the distinct ones).

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

The square root of 1327568004 is about 36435.8066193134. The cubic root of 1327568004 is about 1099.0537327702.

The spelling of 1327568004 in words is "one billion, three hundred twenty-seven million, five hundred sixty-eight thousand, four".