1386432 has 84 divisors (see below), whose sum is σ = 4160520. Its totient is φ = 440832.

The previous prime is 1386419. The next prime is 1386443. The reversal of 1386432 is 2346831.

It is a happy number.

1386432 is a `hidden beast` number, since 13 + 8 + 643 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1386396 and 1386405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16663 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (49530).

2^1386432 is an apocalyptic number.

1386432 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 1386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080260).

1386432 is an abundant number, since it is smaller than the sum of its proper divisors (2774088).

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

1386432 is a wasteful number, since it uses less digits than its factorization.

1386432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1386432 is about 1177.4684709155. The cubic root of 1386432 is about 111.5063306211.

Subtracting from 1386432 its product of digits (3456), we obtain a square (1382976 = 1176²).

The spelling of 1386432 in words is "one million, three hundred eighty-six thousand, four hundred thirty-two".