32880000 has 160 divisors (see below), whose sum is σ = 109933560. Its totient is φ = 8704000.

The previous prime is 32879999. The next prime is 32880011. The reversal of 32880000 is 8823.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 239932 + ... + 240068.

Almost surely, 2^32880000 is an apocalyptic number.

32880000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54966780).

32880000 is an abundant number, since it is smaller than the sum of its proper divisors (77053560).

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

32880000 is an equidigital number, since it uses as much as digits as its factorization.

32880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 32880000 is about 5734.1084747326. The cubic root of 32880000 is about 320.3641687421.

Adding to 32880000 its reverse (8823), we get a palindrome (32888823).

The spelling of 32880000 in words is "thirty-two million, eight hundred eighty thousand".