89106212 has 48 divisors (see below), whose sum is σ = 178528560. Its totient is φ = 38610432.

The previous prime is 89106203. The next prime is 89106217. The reversal of 89106212 is 21260198.

It can be written as a sum of positive squares in 8 ways, for example, as 1196836 + 87909376 = 1094^2 + 9376^2 .

It is a super-3 number, since 3×89106212³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (89106217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54998 + ... + 56594.

It is an arithmetic number, because the mean of its divisors is an integer number (3719345).

Almost surely, 2^89106212 is an apocalyptic number.

It is an amenable number.

89106212 is an abundant number, since it is smaller than the sum of its proper divisors (89422348).

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

89106212 is a wasteful number, since it uses less digits than its factorization.

89106212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 89106212 is about 9439.6086783298. The cubic root of 89106212 is about 446.6520455104.

The spelling of 89106212 in words is "eighty-nine million, one hundred six thousand, two hundred twelve".