89867232 has 288 divisors, whose sum is σ = 328753152. Its totient is φ = 23514624.

The previous prime is 89867231. The next prime is 89867237. The reversal of 89867232 is 23276898.

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

It is a super-2 number, since 2×89867232² = 16152238774683648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89867231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707553 + ... + 707679.

It is an arithmetic number, because the mean of its divisors is an integer number (1141504).

Almost surely, 2^89867232 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 89867232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

89867232 is an abundant number, since it is smaller than the sum of its proper divisors (238885920).

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

89867232 is a wasteful number, since it uses less digits than its factorization.

89867232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 89867232 is about 9479.8329099199. The cubic root of 89867232 is about 447.9200005963.

It can be divided in two parts, 898672 and 32, that added together give a square (898704 = 948²).

The spelling of 89867232 in words is "eighty-nine million, eight hundred sixty-seven thousand, two hundred thirty-two".