332085888 has 192 divisors, whose sum is σ = 1046373120. Its totient is φ = 100638720.

The previous prime is 332085883. The next prime is 332085889. The reversal of 332085888 is 888580233.

332085888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×332085888³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (332085883) 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 23 ways as a sum of consecutive naturals, for example, 606831 + ... + 607377.

It is an arithmetic number, because the mean of its divisors is an integer number (5449860).

Almost surely, 2^332085888 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 332085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523186560).

332085888 is an abundant number, since it is smaller than the sum of its proper divisors (714287232).

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

332085888 is a wasteful number, since it uses less digits than its factorization.

332085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 332085888 is about 18223.2238640697. The cubic root of 332085888 is about 692.4952628625.

The spelling of 332085888 in words is "three hundred thirty-two million, eighty-five thousand, eight hundred eighty-eight".