89820880 has 20 divisors (see below), whose sum is σ = 208833732. Its totient is φ = 35928320.

The previous prime is 89820821. The next prime is 89820881. The reversal of 89820880 is 8802898.

It can be written as a sum of positive squares in 2 ways, for example, as 19395216 + 70425664 = 4404^2 + 8392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89820881) 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 3 ways as a sum of consecutive naturals, for example, 561301 + ... + 561460.

Almost surely, 2^89820880 is an apocalyptic number.

89820880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89820880 is an abundant number, since it is smaller than the sum of its proper divisors (119012852).

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

89820880 is a wasteful number, since it uses less digits than its factorization.

89820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122774 (or 1122768 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The square root of 89820880 is about 9477.3878257672. The cubic root of 89820880 is about 447.8429774961.

The spelling of 89820880 in words is "eighty-nine million, eight hundred twenty thousand, eight hundred eighty".