95986960 has 40 divisors (see below), whose sum is σ = 224449920. Its totient is φ = 38174592.

The previous prime is 95986939. The next prime is 95986963. The reversal of 95986960 is 6968959.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 95986898 and 95986907.

It is not an unprimeable number, because it can be changed into a prime (95986963) by changing a digit.

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, 10969 + ... + 17671.

It is an arithmetic number, because the mean of its divisors is an integer number (5611248).

Almost surely, 2^95986960 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 95986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112224960).

95986960 is an abundant number, since it is smaller than the sum of its proper divisors (128462960).

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

95986960 is a wasteful number, since it uses less digits than its factorization.

95986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6895 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The square root of 95986960 is about 9797.2935038203. The cubic root of 95986960 is about 457.8649640357.

The spelling of 95986960 in words is "ninety-five million, nine hundred eighty-six thousand, nine hundred sixty".