1327532976 has 400 divisors, whose sum is σ = 4900186368. Its totient is φ = 336960000.

The previous prime is 1327532963. The next prime is 1327532993. The reversal of 1327532976 is 6792357231.

1327532976 is a `hidden beast` number, since 1 + 3 + 27 + 532 + 97 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5288851 + ... + 5289101.

Almost surely, 2^1327532976 is an apocalyptic number.

1327532976 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 1327532976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450093184).

1327532976 is an abundant number, since it is smaller than the sum of its proper divisors (3572653392).

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

1327532976 is a wasteful number, since it uses less digits than its factorization.

1327532976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 1327532976 is about 36435.3259351416. The cubic root of 1327532976 is about 1099.0440664750.

The spelling of 1327532976 in words is "one billion, three hundred twenty-seven million, five hundred thirty-two thousand, nine hundred seventy-six".