95944960 has 72 divisors (see below), whose sum is σ = 239883840. Its totient is φ = 36698112.

The previous prime is 95944951. The next prime is 95945027. The reversal of 95944960 is 6944959.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 95944960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27811 + ... + 31069.

It is an arithmetic number, because the mean of its divisors is an integer number (3331720).

Almost surely, 2^95944960 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 95944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119941920).

95944960 is an abundant number, since it is smaller than the sum of its proper divisors (143938880).

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

95944960 is a wasteful number, since it uses less digits than its factorization.

95944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 95944960 is about 9795.1498201916. The cubic root of 95944960 is about 457.7981732481.

The spelling of 95944960 in words is "ninety-five million, nine hundred forty-four thousand, nine hundred sixty".