89444480 has 64 divisors (see below), whose sum is σ = 226433880. Its totient is φ = 33669120.

The previous prime is 89444473. The next prime is 89444513. The reversal of 89444480 is 8444498.

It can be written as a sum of positive squares in 4 ways, for example, as 89264704 + 179776 = 9448^2 + 424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6770 + ... + 14990.

Almost surely, 2^89444480 is an apocalyptic number.

89444480 is a gapful number since it is divisible by the number (80) 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 89444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113216940).

89444480 is an abundant number, since it is smaller than the sum of its proper divisors (136989400).

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

89444480 is a wasteful number, since it uses less digits than its factorization.

89444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 89444480 is about 9457.5091858269. The cubic root of 89444480 is about 447.2165303140.

The spelling of 89444480 in words is "eighty-nine million, four hundred forty-four thousand, four hundred eighty".