95114304 has 112 divisors (see below), whose sum is σ = 294436800. Its totient is φ = 30025728.

The previous prime is 95114297. The next prime is 95114347. The reversal of 95114304 is 40341159.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31384 + ... + 34280.

It is an arithmetic number, because the mean of its divisors is an integer number (2628900).

Almost surely, 2^95114304 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 95114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218400).

95114304 is an abundant number, since it is smaller than the sum of its proper divisors (199322496).

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

95114304 is a wasteful number, since it uses less digits than its factorization.

95114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95114304 is about 9752.6562535547. The cubic root of 95114304 is about 456.4731930064.

The spelling of 95114304 in words is "ninety-five million, one hundred fourteen thousand, three hundred four".