1393127712 has 72 divisors (see below), whose sum is σ = 4011920640. Its totient is φ = 458490240.

The previous prime is 1393127689. The next prime is 1393127719. The reversal of 1393127712 is 2177213931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1393127719) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7864 + ... + 53367.

It is an arithmetic number, because the mean of its divisors is an integer number (55721120).

Almost surely, 2^1393127712 is an apocalyptic number.

1393127712 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 1393127712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005960320).

1393127712 is an abundant number, since it is smaller than the sum of its proper divisors (2618792928).

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

1393127712 is a wasteful number, since it uses less digits than its factorization.

1393127712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61326 (or 61315 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1393127712 is about 37324.6260798417. The cubic root of 1393127712 is about 1116.8554738689.

The spelling of 1393127712 in words is "one billion, three hundred ninety-three million, one hundred twenty-seven thousand, seven hundred twelve".