95289168 has 80 divisors (see below), whose sum is σ = 268593920. Its totient is φ = 28933632.

The previous prime is 95289149. The next prime is 95289169. The reversal of 95289168 is 86198259.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95289169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48330 + ... + 50262.

It is an arithmetic number, because the mean of its divisors is an integer number (3357424).

Almost surely, 2^95289168 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 95289168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134296960).

95289168 is an abundant number, since it is smaller than the sum of its proper divisors (173304752).

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

95289168 is a wasteful number, since it uses less digits than its factorization.

95289168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 95289168 is about 9761.6170791524. The cubic root of 95289168 is about 456.7527579060.

Subtracting from 95289168 its reverse (86198259), we obtain a palindrome (9090909).

The spelling of 95289168 in words is "ninety-five million, two hundred eighty-nine thousand, one hundred sixty-eight".