89664120 has 576 divisors, whose sum is σ = 403341120. Its totient is φ = 17031168.

The previous prime is 89664119. The next prime is 89664149. The reversal of 89664120 is 2146698.

89664120 is a `hidden beast` number, since 8 + 9 + 6 + 641 + 2 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3898429 + ... + 3898451.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^89664120 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 89664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

89664120 is an abundant number, since it is smaller than the sum of its proper divisors (313677000).

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

89664120 is a wasteful number, since it uses less digits than its factorization.

89664120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

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

The square root of 89664120 is about 9469.1140029044. The cubic root of 89664120 is about 447.5822929503.

The spelling of 89664120 in words is "eighty-nine million, six hundred sixty-four thousand, one hundred twenty".