32720896 has 48 divisors (see below), whose sum is σ = 70515900. Its totient is φ = 15089664.

The previous prime is 32720887. The next prime is 32720899. The reversal of 32720896 is 69802723.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 640000 = 5664^2 + 800^2 .

It is not an unprimeable number, because it can be changed into a prime (32720899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26010 + ... + 27238.

Almost surely, 2^32720896 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 32720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35257950).

32720896 is an abundant number, since it is smaller than the sum of its proper divisors (37795004).

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

32720896 is a wasteful number, since it uses less digits than its factorization.

32720896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 32720896 is about 5720.2181776572. The cubic root of 32720896 is about 319.8465931357.

The spelling of 32720896 in words is "thirty-two million, seven hundred twenty thousand, eight hundred ninety-six".