95516960 has 96 divisors (see below), whose sum is σ = 281377152. Its totient is φ = 29767680.

The previous prime is 95516959. The next prime is 95516963. The reversal of 95516960 is 6961559.

95516960 = T₁₂₉₆ + T₁₂₉₇ + ... + T₁₄₀₀.

It is not an unprimeable number, because it can be changed into a prime (95516963) 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, 8444 + ... + 16196.

It is an arithmetic number, because the mean of its divisors is an integer number (2931012).

Almost surely, 2^95516960 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 95516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140688576).

95516960 is an abundant number, since it is smaller than the sum of its proper divisors (185860192).

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

95516960 is a wasteful number, since it uses less digits than its factorization.

95516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 95516960 is about 9773.2778534123. The cubic root of 95516960 is about 457.1164292758.

The spelling of 95516960 in words is "ninety-five million, five hundred sixteen thousand, nine hundred sixty".