20032000 has 80 divisors (see below), whose sum is σ = 50110632. Its totient is φ = 7987200.

The previous prime is 20031997. The next prime is 20032013. The reversal of 20032000 is 23002.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 19079424 = 976^2 + 4368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63844 + ... + 64156.

Almost surely, 2^20032000 is an apocalyptic number.

20032000 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 20032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25055316).

20032000 is an abundant number, since it is smaller than the sum of its proper divisors (30078632).

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

20032000 is an frugal number, since it uses more digits than its factorization.

20032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 20032000 is about 4475.7122338238. The cubic root of 20032000 is about 271.5864534575.

Adding to 20032000 its reverse (23002), we get a palindrome (20055002).

The spelling of 20032000 in words is "twenty million, thirty-two thousand".