89406288 has 80 divisors (see below), whose sum is σ = 262651840. Its totient is φ = 29102976.

The previous prime is 89406287. The next prime is 89406293. The reversal of 89406288 is 88260498.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89406287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16170 + ... + 20982.

It is an arithmetic number, because the mean of its divisors is an integer number (3283148).

Almost surely, 2^89406288 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 89406288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131325920).

89406288 is an abundant number, since it is smaller than the sum of its proper divisors (173245552).

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

89406288 is a wasteful number, since it uses less digits than its factorization.

89406288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4861 counting only the distinct ones).

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

The square root of 89406288 is about 9455.4898339536. The cubic root of 89406288 is about 447.1528687543.

The spelling of 89406288 in words is "eighty-nine million, four hundred six thousand, two hundred eighty-eight".