89559456 has 144 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 25159680.

The previous prime is 89559443. The next prime is 89559461. The reversal of 89559456 is 65495598.

It is a junction number, because it is equal to n+sod(n) for n = 89559399 and 89559408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 371496 + ... + 371736.

It is an arithmetic number, because the mean of its divisors is an integer number (1931160).

Almost surely, 2^89559456 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 89559456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

89559456 is an abundant number, since it is smaller than the sum of its proper divisors (188527584).

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

89559456 is a wasteful number, since it uses less digits than its factorization.

89559456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 51.

The square root of 89559456 is about 9463.5857897522. The cubic root of 89559456 is about 447.4080724168.

The spelling of 89559456 in words is "eighty-nine million, five hundred fifty-nine thousand, four hundred fifty-six".