2003920 has 40 divisors (see below), whose sum is σ = 4792104. Its totient is φ = 778752.

The previous prime is 2003917. The next prime is 2003927. The reversal of 2003920 is 293002.

It can be written as a sum of positive squares in 4 ways, for example, as 1236544 + 767376 = 1112^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2003894 and 2003903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003927) 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 7 ways as a sum of consecutive naturals, for example, 2622 + ... + 3298.

2^2003920 is an apocalyptic number.

2003920 is a gapful number since it is divisible by the number (20) 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 2003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396052).

2003920 is an abundant number, since it is smaller than the sum of its proper divisors (2788184).

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

2003920 is a wasteful number, since it uses less digits than its factorization.

2003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2003920 is about 1415.5988132236. The cubic root of 2003920 is about 126.0743661109.

Adding to 2003920 its reverse (293002), we get a palindrome (2296922).

The spelling of 2003920 in words is "two million, three thousand, nine hundred twenty".