95963168 has 60 divisors (see below), whose sum is σ = 220578750. Its totient is φ = 41094144.

The previous prime is 95963159. The next prime is 95963171. The reversal of 95963168 is 86136959.

It can be written as a sum of positive squares in only one way, i.e., 84860944 + 11102224 = 9212^2 + 3332^2 .

It is a super-2 number, since 2×95963168² = 18417859225192448, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76208 + ... + 77456.

Almost surely, 2^95963168 is an apocalyptic number.

95963168 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110289375).

95963168 is an abundant number, since it is smaller than the sum of its proper divisors (124615582).

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

95963168 is an equidigital number, since it uses as much as digits as its factorization.

95963168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1258 counting only the distinct ones).

The product of its digits is 349920, while the sum is 47.

The square root of 95963168 is about 9796.0792156862. The cubic root of 95963168 is about 457.8271310377.

The spelling of 95963168 in words is "ninety-five million, nine hundred sixty-three thousand, one hundred sixty-eight".