89910912 has 256 divisors, whose sum is σ = 307077120. Its totient is φ = 22671360.

The previous prime is 89910911. The next prime is 89910941. The reversal of 89910912 is 21901998.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89910911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083223 + ... + 1083305.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 2^89910912 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 89910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

89910912 is an abundant number, since it is smaller than the sum of its proper divisors (217166208).

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

89910912 is a wasteful number, since it uses less digits than its factorization.

89910912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 89910912 is about 9482.1364681173. The cubic root of 89910912 is about 447.9925594002.

It can be divided in two parts, 899 and 10912, that added together give a palindrome (11811).

The spelling of 89910912 in words is "eighty-nine million, nine hundred ten thousand, nine hundred twelve".