89466192 has 60 divisors (see below), whose sum is σ = 255727680. Its totient is φ = 29185344.

The previous prime is 89466191. The next prime is 89466197. The reversal of 89466192 is 29166498.

It is a happy number.

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 (89466191) 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 11 ways as a sum of consecutive naturals, for example, 159 + ... + 13377.

It is an arithmetic number, because the mean of its divisors is an integer number (4262128).

Almost surely, 2^89466192 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 89466192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127863840).

89466192 is an abundant number, since it is smaller than the sum of its proper divisors (166261488).

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

89466192 is a wasteful number, since it uses less digits than its factorization.

89466192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13280 (or 13271 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 89466192 is about 9458.6569871203. The cubic root of 89466192 is about 447.2527135782.

The spelling of 89466192 in words is "eighty-nine million, four hundred sixty-six thousand, one hundred ninety-two".