1327612680 has 160 divisors (see below), whose sum is σ = 4507545240. Its totient is φ = 350438400.

The previous prime is 1327612609. The next prime is 1327612681. The reversal of 1327612680 is 862167231.

1327612680 is a `hidden beast` number, since 1 + 32 + 7 + 612 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1292114916 + 35497764 = 35946^2 + 5958^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1327612681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325212 + ... + 329268.

Almost surely, 2^1327612680 is an apocalyptic number.

1327612680 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 1327612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253772620).

1327612680 is an abundant number, since it is smaller than the sum of its proper divisors (3179932560).

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

1327612680 is a wasteful number, since it uses less digits than its factorization.

1327612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1327612680 is about 36436.4196923902. The cubic root of 1327612680 is about 1099.0660612720.

The spelling of 1327612680 in words is "one billion, three hundred twenty-seven million, six hundred twelve thousand, six hundred eighty".