95168000 has 80 divisors (see below), whose sum is σ = 237466944. Its totient is φ = 38041600.

The previous prime is 95167993. The next prime is 95168069. The reversal of 95168000 is 86159.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63257 + ... + 64743.

Almost surely, 2^95168000 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 95168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118733472).

95168000 is an abundant number, since it is smaller than the sum of its proper divisors (142298944).

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

95168000 is an equidigital number, since it uses as much as digits as its factorization.

95168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 95168000 is about 9755.4087561721. The cubic root of 95168000 is about 456.5590762456.

The spelling of 95168000 in words is "ninety-five million, one hundred sixty-eight thousand".