1803936 has 96 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 532224.

The previous prime is 1803889. The next prime is 1803947. The reversal of 1803936 is 6393081.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41931 + ... + 41973.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2^1803936 is an apocalyptic number.

1803936 is a gapful number since it is divisible by the number (16) 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 1803936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

1803936 is an abundant number, since it is smaller than the sum of its proper divisors (3518304).

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

1803936 is a wasteful number, since it uses less digits than its factorization.

1803936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1803936 is about 1343.1068460849. The cubic root of 1803936 is about 121.7326403520.

The spelling of 1803936 in words is "one million, eight hundred three thousand, nine hundred thirty-six".