89228160 has 192 divisors, whose sum is σ = 352291680. Its totient is φ = 20385792.

The previous prime is 89228149. The next prime is 89228171. The reversal of 89228160 is 6182298.

It is an interprime number because it is at equal distance from previous prime (89228149) and next prime (89228171).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 39214 + ... + 41426.

Almost surely, 2^89228160 is an apocalyptic number.

89228160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176145840).

89228160 is an abundant number, since it is smaller than the sum of its proper divisors (263063520).

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

89228160 is a wasteful number, since it uses less digits than its factorization.

89228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 89228160 is about 9446.0658477485. The cubic root of 89228160 is about 446.8557106773.

The spelling of 89228160 in words is "eighty-nine million, two hundred twenty-eight thousand, one hundred sixty".