32080896 has 99 divisors (see below), whose sum is σ = 94229551. Its totient is φ = 10512384.

The previous prime is 32080889. The next prime is 32080897. The reversal of 32080896 is 69808023.

The square root of 32080896 is 5664.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32080896.

It is not an unprimeable number, because it can be changed into a prime (32080897) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 543715 + ... + 543773.

Almost surely, 2^32080896 is an apocalyptic number.

32080896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

32080896 is the 5664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32080896

32080896 is an abundant number, since it is smaller than the sum of its proper divisors (62148655).

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

32080896 is an equidigital number, since it uses as much as digits as its factorization.

32080896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 32080896 is about 317.7475152617.

Multiplying 32080896 by its sum of digits (36), we get a square (1154912256 = 33984²).

32080896 divided by its sum of digits (36) gives a square (891136 = 944²).

Multiplying 32080896 by its product of nonzero digits (20736), we get a square (665229459456 = 815616²).

The spelling of 32080896 in words is "thirty-two million, eighty thousand, eight hundred ninety-six".