1389824 has 36 divisors (see below), whose sum is σ = 2851380. Its totient is φ = 675840.

The previous prime is 1389811. The next prime is 1389833. The reversal of 1389824 is 4289831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 1254400 = 368^2 + 1120^2 .

It is a super-2 number, since 2×1389824² = 3863221501952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15572 + ... + 15660.

It is an arithmetic number, because the mean of its divisors is an integer number (79205).

2^1389824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1389824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425690).

1389824 is an abundant number, since it is smaller than the sum of its proper divisors (1461556).

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

1389824 is an frugal number, since it uses more digits than its factorization.

1389824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 1389824 is about 1178.9079692665. The cubic root of 1389824 is about 111.5971924971.

The spelling of 1389824 in words is "one million, three hundred eighty-nine thousand, eight hundred twenty-four".