89532192 has 144 divisors (see below), whose sum is σ = 257529888. Its totient is φ = 27202560.

The previous prime is 89532187. The next prime is 89532197. The reversal of 89532192 is 29123598.

It is an interprime number because it is at equal distance from previous prime (89532187) and next prime (89532197).

It is a self number, because there is not a number n which added to its sum of digits gives 89532192.

It is not an unprimeable number, because it can be changed into a prime (89532197) 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 23 ways as a sum of consecutive naturals, for example, 2082123 + ... + 2082165.

It is an arithmetic number, because the mean of its divisors is an integer number (1788402).

Almost surely, 2^89532192 is an apocalyptic number.

89532192 is a gapful number since it is divisible by the number (82) 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 89532192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128764944).

89532192 is an abundant number, since it is smaller than the sum of its proper divisors (167997696).

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

89532192 is a wasteful number, since it uses less digits than its factorization.

89532192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 89532192 is about 9462.1452113144. The cubic root of 89532192 is about 447.3626673036.

The spelling of 89532192 in words is "eighty-nine million, five hundred thirty-two thousand, one hundred ninety-two".