89182816 has 48 divisors (see below), whose sum is σ = 188606880. Its totient is φ = 41359360.

The previous prime is 89182811. The next prime is 89182823. The reversal of 89182816 is 61828198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89182811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37470 + ... + 39778.

It is an arithmetic number, because the mean of its divisors is an integer number (3929310).

Almost surely, 2^89182816 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 89182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303440).

89182816 is an abundant number, since it is smaller than the sum of its proper divisors (99424064).

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

89182816 is a wasteful number, since it uses less digits than its factorization.

89182816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

The product of its digits is 55296, while the sum is 43.

The square root of 89182816 is about 9443.6653900909. The cubic root of 89182816 is about 446.7800034170.

It can be divided in two parts, 89182 and 816, that added together give a palindrome (89998).

The spelling of 89182816 in words is "eighty-nine million, one hundred eighty-two thousand, eight hundred sixteen".