32198120 has 64 divisors (see below), whose sum is σ = 76885200. Its totient is φ = 12113920.

The previous prime is 32198113. The next prime is 32198147. The reversal of 32198120 is 2189123.

It can be written as a sum of positive squares in 8 ways, for example, as 16532356 + 15665764 = 4066^2 + 3958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32198120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47222 + ... + 47898.

Almost surely, 2^32198120 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 32198120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38442600).

32198120 is an abundant number, since it is smaller than the sum of its proper divisors (44687080).

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

32198120 is a wasteful number, since it uses less digits than its factorization.

32198120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 32198120 is about 5674.3387279929. The cubic root of 32198120 is about 318.1340626411.

The spelling of 32198120 in words is "thirty-two million, one hundred ninety-eight thousand, one hundred twenty".