32045220 has 120 divisors (see below), whose sum is σ = 101965248. Its totient is φ = 8424000.

The previous prime is 32045207. The next prime is 32045239. The reversal of 32045220 is 2254023.

It is a super-3 number, since 3×32045220³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32045193 and 32045202.

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 39 ways as a sum of consecutive naturals, for example, 212145 + ... + 212295.

Almost surely, 2^32045220 is an apocalyptic number.

32045220 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 32045220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50982624).

32045220 is an abundant number, since it is smaller than the sum of its proper divisors (69920028).

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

32045220 is a wasteful number, since it uses less digits than its factorization.

32045220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 32045220 is about 5660.8497595326. The cubic root of 32045220 is about 317.6296864137.

Adding to 32045220 its reverse (2254023), we get a palindrome (34299243).

The spelling of 32045220 in words is "thirty-two million, forty-five thousand, two hundred twenty".