96104960 has 160 divisors (see below), whose sum is σ = 273411072. Its totient is φ = 31703040.

The previous prime is 96104917. The next prime is 96104999. The reversal of 96104960 is 6940169.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 96104960.

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 15 ways as a sum of consecutive naturals, for example, 555434 + ... + 555606.

Almost surely, 2^96104960 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 96104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136705536).

96104960 is an abundant number, since it is smaller than the sum of its proper divisors (177306112).

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

96104960 is a wasteful number, since it uses less digits than its factorization.

96104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 96104960 is about 9803.3137254706. The cubic root of 96104960 is about 458.0525101405.

The spelling of 96104960 in words is "ninety-six million, one hundred four thousand, nine hundred sixty".