8959104 has 192 divisors, whose sum is σ = 32460480. Its totient is φ = 2304000.

The previous prime is 8959081. The next prime is 8959109. The reversal of 8959104 is 4019598.

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 not an unprimeable number, because it can be changed into a prime (8959109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88654 + ... + 88754.

It is an arithmetic number, because the mean of its divisors is an integer number (169065).

Almost surely, 2^8959104 is an apocalyptic number.

8959104 is a gapful number since it is divisible by the number (84) 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 8959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230240).

8959104 is an abundant number, since it is smaller than the sum of its proper divisors (23501376).

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

8959104 is a wasteful number, since it uses less digits than its factorization.

8959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8959104 is about 2993.1762393818. The cubic root of 8959104 is about 207.6928405178.

It can be divided in two parts, 895 and 9104, that added together give a palindrome (9999).

The spelling of 8959104 in words is "eight million, nine hundred fifty-nine thousand, one hundred four".