96165760 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 35751936.

The previous prime is 96165749. The next prime is 96165767. The reversal of 96165760 is 6756169.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96165767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691771 + ... + 691909.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^96165760 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 96165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

96165760 is an abundant number, since it is smaller than the sum of its proper divisors (150592640).

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

96165760 is a wasteful number, since it uses less digits than its factorization.

96165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 96165760 is about 9806.4142274330. The cubic root of 96165760 is about 458.1490841423.

It can be divided in two parts, 9616 and 5760, that added together give a square (15376 = 124²).

The spelling of 96165760 in words is "ninety-six million, one hundred sixty-five thousand, seven hundred sixty".