96359904 has 144 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 30240000.

The previous prime is 96359863. The next prime is 96359933. The reversal of 96359904 is 40995369.

It is a happy number.

96359904 is a `hidden beast` number, since 9 + 635 + 9 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 96359904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383779 + ... + 384029.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 2^96359904 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 96359904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

96359904 is an abundant number, since it is smaller than the sum of its proper divisors (194234400).

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

96359904 is a wasteful number, since it uses less digits than its factorization.

96359904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 96359904 is about 9816.3080636256. The cubic root of 96359904 is about 458.4571879348.

It can be divided in two parts, 96 and 359904, that added together give a square (360000 = 600²).

The spelling of 96359904 in words is "ninety-six million, three hundred fifty-nine thousand, nine hundred four".