89529984 has 192 divisors, whose sum is σ = 280051200. Its totient is φ = 27371520.

The previous prime is 89529983. The next prime is 89529991. The reversal of 89529984 is 48992598.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 89529984.

It is not an unprimeable number, because it can be changed into a prime (89529983) by changing a digit.

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, 821322 + ... + 821430.

It is an arithmetic number, because the mean of its divisors is an integer number (1458600).

Almost surely, 2^89529984 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 89529984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140025600).

89529984 is an abundant number, since it is smaller than the sum of its proper divisors (190521216).

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

89529984 is a wasteful number, since it uses less digits than its factorization.

89529984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 89529984 is about 9462.0285351504. The cubic root of 89529984 is about 447.3589897255.

The spelling of 89529984 in words is "eighty-nine million, five hundred twenty-nine thousand, nine hundred eighty-four".