20032020 has 72 divisors (see below), whose sum is σ = 61381320. Its totient is φ = 5287680.

The previous prime is 20032013. The next prime is 20032021. The reversal of 20032020 is 2023002.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 16016004 = 2004^2 + 4002^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20031993 and 20032011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19110 + ... + 20130.

Almost surely, 2^20032020 is an apocalyptic number.

20032020 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 20032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30690660).

20032020 is an abundant number, since it is smaller than the sum of its proper divisors (41349300).

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

20032020 is a wasteful number, since it uses less digits than its factorization.

20032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20032020 is about 4475.7144681045. The cubic root of 20032020 is about 271.5865438417.

Adding to 20032020 its reverse (2023002), we get a palindrome (22055022).

The spelling of 20032020 in words is "twenty million, thirty-two thousand, twenty".