99920080 has 80 divisors (see below), whose sum is σ = 258889680. Its totient is φ = 35610624.

The previous prime is 99920071. The next prime is 99920087. The reversal of 99920080 is 8002999.

It can be written as a sum of positive squares in 8 ways, for example, as 64 + 99920016 = 8^2 + 9996^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99920087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28504 + ... + 31816.

It is an arithmetic number, because the mean of its divisors is an integer number (3236121).

Almost surely, 2^99920080 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 99920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129444840).

99920080 is an abundant number, since it is smaller than the sum of its proper divisors (158969600).

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

99920080 is a wasteful number, since it uses less digits than its factorization.

99920080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 99920080 is about 9996.0032012800. The cubic root of 99920080 is about 464.0351984792.

The spelling of 99920080 in words is "ninety-nine million, nine hundred twenty thousand, eighty".