1940832 has 72 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 616704.

The previous prime is 1940821. The next prime is 1940833. The reversal of 1940832 is 2380491.

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

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1940796 and 1940805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940833) 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, 6478 + ... + 6770.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

2^1940832 is an apocalyptic number.

1940832 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 1940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

1940832 is an abundant number, since it is smaller than the sum of its proper divisors (3838032).

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

1940832 is a wasteful number, since it uses less digits than its factorization.

1940832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1940832 is about 1393.1374662968. The cubic root of 1940832 is about 124.7371971980.

It can be divided in two parts, 1940 and 832, that added together give a palindrome (2772).

The spelling of 1940832 in words is "one million, nine hundred forty thousand, eight hundred thirty-two".