95867968 has 112 divisors (see below), whose sum is σ = 231160320. Its totient is φ = 38578176.

The previous prime is 95867953. The next prime is 95867969. The reversal of 95867968 is 86976859.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (58).

Its product of digits (6531840) is a multiple of the sum of its prime factors (252).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (95867969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610546 + ... + 610702.

Almost surely, 2^95867968 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 95867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115580160).

95867968 is an abundant number, since it is smaller than the sum of its proper divisors (135292352).

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

95867968 is a wasteful number, since it uses less digits than its factorization.

95867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 58.

The square root of 95867968 is about 9791.2189230963. The cubic root of 95867968 is about 457.6756855593.

The spelling of 95867968 in words is "ninety-five million, eight hundred sixty-seven thousand, nine hundred sixty-eight".