95006912 has 112 divisors (see below), whose sum is σ = 253300992. Its totient is φ = 34145280.

The previous prime is 95006903. The next prime is 95006939. The reversal of 95006912 is 21960059.

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 (32).

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, 63323 + ... + 64805.

It is an arithmetic number, because the mean of its divisors is an integer number (2261616).

Almost surely, 2^95006912 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 95006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126650496).

95006912 is an abundant number, since it is smaller than the sum of its proper divisors (158294080).

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

95006912 is a wasteful number, since it uses less digits than its factorization.

95006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 95006912 is about 9747.1489164781. The cubic root of 95006912 is about 456.3013295100.

The spelling of 95006912 in words is "ninety-five million, six thousand, nine hundred twelve".