89666100 has 108 divisors (see below), whose sum is σ = 285440064. Its totient is φ = 23538240.

The previous prime is 89666069. The next prime is 89666117. The reversal of 89666100 is 166698.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 59557 + ... + 61043.

Almost surely, 2^89666100 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 89666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142720032).

89666100 is an abundant number, since it is smaller than the sum of its proper divisors (195773964).

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

89666100 is a wasteful number, since it uses less digits than its factorization.

89666100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1564 counting only the distinct ones).

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

The square root of 89666100 is about 9469.2185527635. The cubic root of 89666100 is about 447.5855874915.

Adding to 89666100 its sum of digits (36), we get a triangular number (89666136 = T₁₃₃₉₁).

The spelling of 89666100 in words is "eighty-nine million, six hundred sixty-six thousand, one hundred".