32055320 has 96 divisors (see below), whose sum is σ = 81874800. Its totient is φ = 11278080.

The previous prime is 32055311. The next prime is 32055323. The reversal of 32055320 is 2355023.

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 = 32055292 and 32055301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32055323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178991 + ... + 179169.

Almost surely, 2^32055320 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 32055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40937400).

32055320 is an abundant number, since it is smaller than the sum of its proper divisors (49819480).

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

32055320 is a wasteful number, since it uses less digits than its factorization.

32055320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 32055320 is about 5661.7417814662. The cubic root of 32055320 is about 317.6630530422.

The spelling of 32055320 in words is "thirty-two million, fifty-five thousand, three hundred twenty".