89284608 has 168 divisors, whose sum is σ = 296466768. Its totient is φ = 25362432.

The previous prime is 89284567. The next prime is 89284609. The reversal of 89284608 is 80648298.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89284609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516010 + ... + 516182.

Almost surely, 2^89284608 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 89284608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148233384).

89284608 is an abundant number, since it is smaller than the sum of its proper divisors (207182160).

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

89284608 is a wasteful number, since it uses less digits than its factorization.

89284608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 89284608 is about 9449.0532859118. The cubic root of 89284608 is about 446.9499215703.

The spelling of 89284608 in words is "eighty-nine million, two hundred eighty-four thousand, six hundred eight".