95979968 has 56 divisors (see below), whose sum is σ = 224722944. Its totient is φ = 39801600.

The previous prime is 95979953. The next prime is 95979971. The reversal of 95979968 is 86997959.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 95979968.

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, 10433 + ... + 17343.

Almost surely, 2^95979968 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 95979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112361472).

95979968 is an abundant number, since it is smaller than the sum of its proper divisors (128742976).

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

95979968 is a wasteful number, since it uses less digits than its factorization.

95979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6951 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 62.

The square root of 95979968 is about 9796.9366640803. The cubic root of 95979968 is about 457.8538463118.

Subtracting from 95979968 its reverse (86997959), we obtain a square (8982009 = 2997²).

The spelling of 95979968 in words is "ninety-five million, nine hundred seventy-nine thousand, nine hundred sixty-eight".