1389312 has 90 divisors (see below), whose sum is σ = 4204508. Its totient is φ = 456192.

The previous prime is 1389301. The next prime is 1389319. The reversal of 1389312 is 2139831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1296) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1389319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20703 + ... + 20769.

2^1389312 is an apocalyptic number.

1389312 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 1389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102254).

1389312 is an abundant number, since it is smaller than the sum of its proper divisors (2815196).

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

1389312 is an frugal number, since it uses more digits than its factorization.

1389312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1389312 is about 1178.6907991496. The cubic root of 1389312 is about 111.5834869775.

The spelling of 1389312 in words is "one million, three hundred eighty-nine thousand, three hundred twelve".