89166420 has 144 divisors (see below), whose sum is σ = 320681088. Its totient is φ = 20373120.

The previous prime is 89166397. The next prime is 89166421. The reversal of 89166420 is 2466198.

89166420 is a `hidden beast` number, since 8 + 9 + 1 + 6 + 642 + 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 not an unprimeable number, because it can be changed into a prime (89166421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32710 + ... + 35330.

It is an arithmetic number, because the mean of its divisors is an integer number (2226952).

Almost surely, 2^89166420 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 89166420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160340544).

89166420 is an abundant number, since it is smaller than the sum of its proper divisors (231514668).

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

89166420 is a wasteful number, since it uses less digits than its factorization.

89166420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2638 counting only the distinct ones).

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

The square root of 89166420 is about 9442.7972550511. The cubic root of 89166420 is about 446.7526220065.

The spelling of 89166420 in words is "eighty-nine million, one hundred sixty-six thousand, four hundred twenty".