1327540032 has 672 divisors, whose sum is σ = 5207121920. Its totient is φ = 313528320.

The previous prime is 1327540031. The next prime is 1327540073. The reversal of 1327540032 is 2300457231.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1327540032² = 3524725073125122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1327539978 and 1327540005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327540031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30873003 + ... + 30873045.

Almost surely, 2^1327540032 is an apocalyptic number.

1327540032 is a gapful number since it is divisible by the number (12) 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 1327540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603560960).

1327540032 is an abundant number, since it is smaller than the sum of its proper divisors (3879581888).

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

1327540032 is a wasteful number, since it uses less digits than its factorization.

1327540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1327540032 is about 36435.4227641179. The cubic root of 1327540032 is about 1099.0460136560.

Adding to 1327540032 its reverse (2300457231), we get a palindrome (3627997263).

The spelling of 1327540032 in words is "one billion, three hundred twenty-seven million, five hundred forty thousand, thirty-two".