1327616544 has 96 divisors (see below), whose sum is σ = 3549087360. Its totient is φ = 434460672.

The previous prime is 1327616539. The next prime is 1327616561. The reversal of 1327616544 is 4456167231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2725869 + ... + 2726355.

It is an arithmetic number, because the mean of its divisors is an integer number (36969660).

Almost surely, 2^1327616544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774543680).

1327616544 is an abundant number, since it is smaller than the sum of its proper divisors (2221470816).

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

1327616544 is a wasteful number, since it uses less digits than its factorization.

1327616544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 1327616544 is about 36436.4727162221. The cubic root of 1327616544 is about 1099.0671275437.

The spelling of 1327616544 in words is "one billion, three hundred twenty-seven million, six hundred sixteen thousand, five hundred forty-four".