95951968 has 48 divisors (see below), whose sum is σ = 218363040. Its totient is φ = 40651776.

The previous prime is 95951959. The next prime is 95951971. The reversal of 95951968 is 86915959.

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 7 ways as a sum of consecutive naturals, for example, 17530 + ... + 22342.

It is an arithmetic number, because the mean of its divisors is an integer number (4549230).

Almost surely, 2^95951968 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 95951968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109181520).

95951968 is an abundant number, since it is smaller than the sum of its proper divisors (122411072).

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

95951968 is a wasteful number, since it uses less digits than its factorization.

95951968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4911 counting only the distinct ones).

The product of its digits is 874800, while the sum is 52.

The square root of 95951968 is about 9795.5075417254. The cubic root of 95951968 is about 457.8093191228.

The spelling of 95951968 in words is "ninety-five million, nine hundred fifty-one thousand, nine hundred sixty-eight".