89220768 has 144 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 23514624.

The previous prime is 89220757. The next prime is 89220787. The reversal of 89220768 is 86702298.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 60423 + ... + 61881.

It is an arithmetic number, because the mean of its divisors is an integer number (2038890).

Almost surely, 2^89220768 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 89220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146800080).

89220768 is an abundant number, since it is smaller than the sum of its proper divisors (204379392).

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

89220768 is a wasteful number, since it uses less digits than its factorization.

89220768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 89220768 is about 9445.6745656411. The cubic root of 89220768 is about 446.8433705946.

The spelling of 89220768 in words is "eighty-nine million, two hundred twenty thousand, seven hundred sixty-eight".