95006304 has 48 divisors (see below), whose sum is σ = 277104240. Its totient is φ = 31668480.

The previous prime is 95006299. The next prime is 95006311. The reversal of 95006304 is 40360059.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 54117 + ... + 55844.

It is an arithmetic number, because the mean of its divisors is an integer number (5773005).

Almost surely, 2^95006304 is an apocalyptic number.

It is an amenable number.

95006304 is an abundant number, since it is smaller than the sum of its proper divisors (182097936).

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

95006304 is a wasteful number, since it uses less digits than its factorization.

95006304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109980 (or 109966 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 95006304 is about 9747.1177278209. The cubic root of 95006304 is about 456.3003561359.

The spelling of 95006304 in words is "ninety-five million, six thousand, three hundred four".