332640020 has 48 divisors (see below), whose sum is σ = 742588560. Its totient is φ = 124729344.

The previous prime is 332640017. The next prime is 332640067. The reversal of 332640020 is 20046233.

It can be written as a sum of positive squares in 8 ways, for example, as 75550864 + 257089156 = 8692^2 + 16034^2 .

It is a super-2 number, since 2×332640020² = 221298765811200800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 332639974 and 332640001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89642 + ... + 93278.

It is an arithmetic number, because the mean of its divisors is an integer number (15470595).

Almost surely, 2^332640020 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 332640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371294280).

332640020 is an abundant number, since it is smaller than the sum of its proper divisors (409948540).

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

332640020 is a wasteful number, since it uses less digits than its factorization.

332640020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 332640020 is about 18238.4215325779. The cubic root of 332640020 is about 692.8802240614.

Adding to 332640020 its reverse (20046233), we get a palindrome (352686253).

The spelling of 332640020 in words is "three hundred thirty-two million, six hundred forty thousand, twenty".