1327412020 has 96 divisors (see below), whose sum is σ = 3253944960. Its totient is φ = 449495040.

The previous prime is 1327411999. The next prime is 1327412057. The reversal of 1327412020 is 202147231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1327411982 and 1327412000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360951 + ... + 364609.

It is an arithmetic number, because the mean of its divisors is an integer number (33895260).

Almost surely, 2^1327412020 is an apocalyptic number.

1327412020 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 1327412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626972480).

1327412020 is an abundant number, since it is smaller than the sum of its proper divisors (1926532940).

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

1327412020 is a wasteful number, since it uses less digits than its factorization.

1327412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1327412020 is about 36433.6660247085. Note that the first 3 decimals coincide. The cubic root of 1327412020 is about 1099.0106862592.

Adding to 1327412020 its reverse (202147231), we get a palindrome (1529559251).

The spelling of 1327412020 in words is "one billion, three hundred twenty-seven million, four hundred twelve thousand, twenty".