89477984 has 48 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 43374720.

The previous prime is 89477959. The next prime is 89478013. The reversal of 89477984 is 48977498.

Together with 92143456 it forms an amicable pair .

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, 156419 + ... + 156989.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^89477984 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 89477984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

89477984 is an abundant number, since it is smaller than the sum of its proper divisors (92143456).

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

89477984 is a wasteful number, since it uses less digits than its factorization.

89477984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 56.

The square root of 89477984 is about 9459.2803108905. The cubic root of 89477984 is about 447.2723626105.

The spelling of 89477984 in words is "eighty-nine million, four hundred seventy-seven thousand, nine hundred eighty-four".