1327642140 has 96 divisors (see below), whose sum is σ = 4165023744. Its totient is φ = 313148160.

The previous prime is 1327642139. The next prime is 1327642153. The reversal of 1327642140 is 412467231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1327642098 and 1327642107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764 + ... + 51603.

It is an arithmetic number, because the mean of its divisors is an integer number (43385664).

Almost surely, 2^1327642140 is an apocalyptic number.

1327642140 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 1327642140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082511872).

1327642140 is an abundant number, since it is smaller than the sum of its proper divisors (2837381604).

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

1327642140 is a wasteful number, since it uses less digits than its factorization.

1327642140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54427 (or 54425 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1327642140 is about 36436.8239559927. The cubic root of 1327642140 is about 1099.0741907130.

The spelling of 1327642140 in words is "one billion, three hundred twenty-seven million, six hundred forty-two thousand, one hundred forty".