1327632000 has 256 divisors, whose sum is σ = 4662852480. Its totient is φ = 333004800.

The previous prime is 1327631969. The next prime is 1327632037. The reversal of 1327632000 is 2367231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 815187 + ... + 816813.

Almost surely, 2^1327632000 is an apocalyptic number.

1327632000 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 1327632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331426240).

1327632000 is an abundant number, since it is smaller than the sum of its proper divisors (3335220480).

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

1327632000 is a wasteful number, since it uses less digits than its factorization.

1327632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 1327632000 is about 36436.6848107783. The cubic root of 1327632000 is about 1099.0713926094.

Adding to 1327632000 its reverse (2367231), we get a palindrome (1329999231).

The spelling of 1327632000 in words is "one billion, three hundred twenty-seven million, six hundred thirty-two thousand".