32540320 has 48 divisors (see below), whose sum is σ = 79538760. Its totient is φ = 12565504.

The previous prime is 32540303. The next prime is 32540323. The reversal of 32540320 is 2304523.

It can be written as a sum of positive squares in 4 ways, for example, as 30338064 + 2202256 = 5508^2 + 1484^2 .

It is not an unprimeable number, because it can be changed into a prime (32540323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134 + ... + 8146.

Almost surely, 2^32540320 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 32540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39769380).

32540320 is an abundant number, since it is smaller than the sum of its proper divisors (46998440).

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

32540320 is a wasteful number, since it uses less digits than its factorization.

32540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 32540320 is about 5704.4123273130. The cubic root of 32540320 is about 319.2571309561.

Adding to 32540320 its reverse (2304523), we get a palindrome (34844843).

The spelling of 32540320 in words is "thirty-two million, five hundred forty thousand, three hundred twenty".