89599104 has 192 divisors, whose sum is σ = 302964480. Its totient is φ = 24883200.

The previous prime is 89599091. The next prime is 89599121. The reversal of 89599104 is 40199598.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 89599104.

It is a congruent number.

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, 330489 + ... + 330759.

It is an arithmetic number, because the mean of its divisors is an integer number (1577940).

Almost surely, 2^89599104 is an apocalyptic number.

89599104 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 89599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151482240).

89599104 is an abundant number, since it is smaller than the sum of its proper divisors (213365376).

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

89599104 is a wasteful number, since it uses less digits than its factorization.

89599104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 89599104 is about 9465.6803242028. The cubic root of 89599104 is about 447.4740852423.

It can be divided in two parts, 895 and 99104, that added together give a palindrome (99999).

The spelling of 89599104 in words is "eighty-nine million, five hundred ninety-nine thousand, one hundred four".