32098320 has 120 divisors (see below), whose sum is σ = 109051800. Its totient is φ = 8460288.

The previous prime is 32098307. The next prime is 32098327. The reversal of 32098320 is 2389023.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 19820304 = 3504^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (32098327) 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, 78276 + ... + 78684.

It is an arithmetic number, because the mean of its divisors is an integer number (908765).

Almost surely, 2^32098320 is an apocalyptic number.

32098320 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 32098320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54525900).

32098320 is an abundant number, since it is smaller than the sum of its proper divisors (76953480).

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

32098320 is a wasteful number, since it uses less digits than its factorization.

32098320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 32098320 is about 5665.5379267992. The cubic root of 32098320 is about 317.8050305992.

The spelling of 32098320 in words is "thirty-two million, ninety-eight thousand, three hundred twenty".