332004640 has 96 divisors (see below), whose sum is σ = 863291520. Its totient is φ = 120651520.

The previous prime is 332004601. The next prime is 332004643. The reversal of 332004640 is 46400233.

332004640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332004640² = 220454161963059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (332004643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212181 + ... + 213739.

It is an arithmetic number, because the mean of its divisors is an integer number (8992620).

Almost surely, 2^332004640 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 332004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760).

332004640 is an abundant number, since it is smaller than the sum of its proper divisors (531286880).

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

332004640 is a wasteful number, since it uses less digits than its factorization.

332004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 332004640 is about 18220.9944843853. The cubic root of 332004640 is about 692.4387830519.

Adding to 332004640 its reverse (46400233), we get a palindrome (378404873).

The spelling of 332004640 in words is "three hundred thirty-two million, four thousand, six hundred forty".