32768080 has 40 divisors (see below), whose sum is σ = 76725000. Its totient is φ = 13014528.

The previous prime is 32768039. The next prime is 32768081. The reversal of 32768080 is 8086723.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 32353344 = 644^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32768081) 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, 10546 + ... + 13294.

It is an arithmetic number, because the mean of its divisors is an integer number (1918125).

Almost surely, 2^32768080 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 32768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38362500).

32768080 is an abundant number, since it is smaller than the sum of its proper divisors (43956920).

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

32768080 is a wasteful number, since it uses less digits than its factorization.

32768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 32768080 is about 5724.3410101076. The cubic root of 32768080 is about 320.0002604165. Note that the first 3 decimals are identical.

It can be divided in two parts, 327680 and 80, that multiplied together give a square (26214400 = 5120²).

The spelling of 32768080 in words is "thirty-two million, seven hundred sixty-eight thousand, eighty".