32020000 has 60 divisors (see below), whose sum is σ = 78823206. Its totient is φ = 12800000.

The previous prime is 32019971. The next prime is 32020007. The reversal of 32020000 is 2023.

It can be written as a sum of positive squares in 5 ways, for example, as 6739216 + 25280784 = 2596^2 + 5028^2 .

It is not an unprimeable number, because it can be changed into a prime (32020007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19200 + ... + 20800.

Almost surely, 2^32020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39411603).

32020000 is an abundant number, since it is smaller than the sum of its proper divisors (46803206).

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

32020000 is an equidigital number, since it uses as much as digits as its factorization.

32020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1608 counting only the distinct ones).

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

The square root of 32020000 is about 5658.6217403180. The cubic root of 32020000 is about 317.5463383294.

Adding to 32020000 its reverse (2023), we get a palindrome (32022023).

The spelling of 32020000 in words is "thirty-two million, twenty thousand".