1327953536 has 128 divisors (see below), whose sum is σ = 3279830400. Its totient is φ = 521515008.

The previous prime is 1327953527. The next prime is 1327953593. The reversal of 1327953536 is 6353597231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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, 2014775 + ... + 2015433.

It is an arithmetic number, because the mean of its divisors is an integer number (25623675).

Almost surely, 2^1327953536 is an apocalyptic number.

1327953536 is a gapful number since it is divisible by the number (16) 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 1327953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639915200).

1327953536 is an abundant number, since it is smaller than the sum of its proper divisors (1951876864).

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

1327953536 is a wasteful number, since it uses less digits than its factorization.

1327953536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 854 counting only the distinct ones).

The product of its digits is 510300, while the sum is 44.

The square root of 1327953536 is about 36441.0968001788. The cubic root of 1327953536 is about 1099.1601125996.

The spelling of 1327953536 in words is "one billion, three hundred twenty-seven million, nine hundred fifty-three thousand, five hundred thirty-six".