89222688 has 96 divisors (see below), whose sum is σ = 267361920. Its totient is φ = 28926720.

The previous prime is 89222677. The next prime is 89222701. The reversal of 89222688 is 88622298.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 30573 + ... + 33363.

It is an arithmetic number, because the mean of its divisors is an integer number (2785020).

Almost surely, 2^89222688 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 89222688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133680960).

89222688 is an abundant number, since it is smaller than the sum of its proper divisors (178139232).

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

89222688 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (89222687) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2833).

89222688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2833 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 89222688 is about 9445.7761989156. The cubic root of 89222688 is about 446.8465758764.

The spelling of 89222688 in words is "eighty-nine million, two hundred twenty-two thousand, six hundred eighty-eight".