89466120 has 160 divisors (see below), whose sum is σ = 306967320. Its totient is φ = 23362560.

The previous prime is 89466061. The next prime is 89466127. The reversal of 89466120 is 2166498.

It can be written as a sum of positive squares in 4 ways, for example, as 71876484 + 17589636 = 8478^2 + 4194^2 .

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

It is not an unprimeable number, because it can be changed into a prime (89466127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171460 + ... + 171980.

Almost surely, 2^89466120 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 89466120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153483660).

89466120 is an abundant number, since it is smaller than the sum of its proper divisors (217501200).

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

89466120 is a wasteful number, since it uses less digits than its factorization.

89466120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 89466120 is about 9458.6531810824. The cubic root of 89466120 is about 447.2525935991.

The spelling of 89466120 in words is "eighty-nine million, four hundred sixty-six thousand, one hundred twenty".