89984160 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 20127744.

The previous prime is 89984131. The next prime is 89984161. The reversal of 89984160 is 6148998.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89984161) 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 47 ways as a sum of consecutive naturals, for example, 796264 + ... + 796376.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^89984160 is an apocalyptic number.

89984160 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 89984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

89984160 is an abundant number, since it is smaller than the sum of its proper divisors (268541280).

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

89984160 is a wasteful number, since it uses less digits than its factorization.

89984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 89984160 is about 9485.9981024666. The cubic root of 89984160 is about 448.1141822053.

The spelling of 89984160 in words is "eighty-nine million, nine hundred eighty-four thousand, one hundred sixty".