32920080 has 80 divisors (see below), whose sum is σ = 103505280. Its totient is φ = 8653824.

The previous prime is 32920057. The next prime is 32920081. The reversal of 32920080 is 8002923.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32920080.

It is not an unprimeable number, because it can be changed into a prime (32920081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16581 + ... + 18459.

It is an arithmetic number, because the mean of its divisors is an integer number (1293816).

Almost surely, 2^32920080 is an apocalyptic number.

32920080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51752640).

32920080 is an abundant number, since it is smaller than the sum of its proper divisors (70585200).

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

32920080 is a wasteful number, since it uses less digits than its factorization.

32920080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 32920080 is about 5737.6022866699. The cubic root of 32920080 is about 320.4942881877.

The spelling of 32920080 in words is "thirty-two million, nine hundred twenty thousand, eighty".