32316320 has 72 divisors (see below), whose sum is σ = 81586764. Its totient is φ = 12054528.

The previous prime is 32316313. The next prime is 32316329. The reversal of 32316320 is 2361323.

32316320 = 311² + 312² + ... + 502².

It can be written as a sum of positive squares in 6 ways, for example, as 24720784 + 7595536 = 4972^2 + 2756^2 .

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 = 32316292 and 32316301.

It is not an unprimeable number, because it can be changed into a prime (32316329) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 296426 + ... + 296534.

Almost surely, 2^32316320 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 32316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40793382).

32316320 is an abundant number, since it is smaller than the sum of its proper divisors (49270444).

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

32316320 is a wasteful number, since it uses less digits than its factorization.

32316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 32316320 is about 5684.7444973367. The cubic root of 32316320 is about 318.5228796016.

Adding to 32316320 its reverse (2361323), we get a palindrome (34677643).

The spelling of 32316320 in words is "thirty-two million, three hundred sixteen thousand, three hundred twenty".