89229312 has 144 divisors (see below), whose sum is σ = 265749120. Its totient is φ = 28827648.

The previous prime is 89229281. The next prime is 89229313. The reversal of 89229312 is 21392298.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (89229313) 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, 866253 + ... + 866355.

It is an arithmetic number, because the mean of its divisors is an integer number (1845480).

Almost surely, 2^89229312 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 89229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

89229312 is an abundant number, since it is smaller than the sum of its proper divisors (176519808).

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

89229312 is a wasteful number, since it uses less digits than its factorization.

89229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 89229312 is about 9446.1268253184. The cubic root of 89229312 is about 446.8576337457.

The spelling of 89229312 in words is "eighty-nine million, two hundred twenty-nine thousand, three hundred twelve".