1836432 has 100 divisors (see below), whose sum is σ = 5776540. Its totient is φ = 559872.

The previous prime is 1836427. The next prime is 1836433. The reversal of 1836432 is 2346381.

It is a happy number.

1836432 is a `hidden beast` number, since 18 + 3 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 1089936 = 864^2 + 1044^2 .

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.

It is a junction number, because it is equal to n+sod(n) for n = 1836396 and 1836405.

It is not an unprimeable number, because it can be changed into a prime (1836433) 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 19 ways as a sum of consecutive naturals, for example, 16794 + ... + 16902.

2^1836432 is an apocalyptic number.

1836432 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 1836432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888270).

1836432 is an abundant number, since it is smaller than the sum of its proper divisors (3940108).

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

1836432 is a wasteful number, since it uses less digits than its factorization.

1836432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

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

The square root of 1836432 is about 1355.1501761797. The cubic root of 1836432 is about 122.4592561987.

The spelling of 1836432 in words is "one million, eight hundred thirty-six thousand, four hundred thirty-two".