95084968 has 128 divisors (see below), whose sum is σ = 221616000. Its totient is φ = 37739520.

The previous prime is 95084963. The next prime is 95084971. The reversal of 95084968 is 86948059.

It is a happy number.

It is a super-2 number, since 2×95084968² = 18082302279122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95084963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794030 + ... + 1794082.

It is an arithmetic number, because the mean of its divisors is an integer number (1731375).

Almost surely, 2^95084968 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 95084968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110808000).

95084968 is an abundant number, since it is smaller than the sum of its proper divisors (126531032).

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

95084968 is a wasteful number, since it uses less digits than its factorization.

95084968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 95084968 is about 9751.1521370554. The cubic root of 95084968 is about 456.4262583394.

The spelling of 95084968 in words is "ninety-five million, eighty-four thousand, nine hundred sixty-eight".