32001820 has 48 divisors (see below), whose sum is σ = 72370368. Its totient is φ = 11842560.

The previous prime is 32001817. The next prime is 32001821. The reversal of 32001820 is 2810023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32001794 and 32001803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32001821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19969 + ... + 21511.

It is an arithmetic number, because the mean of its divisors is an integer number (1507716).

Almost surely, 2^32001820 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 32001820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36185184).

32001820 is an abundant number, since it is smaller than the sum of its proper divisors (40368548).

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

32001820 is a wasteful number, since it uses less digits than its factorization.

32001820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 32001820 is about 5657.0151139978. The cubic root of 32001820 is about 317.4862291752.

Adding to 32001820 its reverse (2810023), we get a palindrome (34811843).

The spelling of 32001820 in words is "thirty-two million, one thousand, eight hundred twenty".