95609984 has 64 divisors (see below), whose sum is σ = 201960000. Its totient is φ = 45007872.

The previous prime is 95609981. The next prime is 95609993. The reversal of 95609984 is 48990659.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95609981) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 159317 + ... + 159915.

It is an arithmetic number, because the mean of its divisors is an integer number (3155625).

Almost surely, 2^95609984 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 95609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100980000).

95609984 is an abundant number, since it is smaller than the sum of its proper divisors (106350016).

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

95609984 is a wasteful number, since it uses less digits than its factorization.

95609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 95609984 is about 9778.0357945755. The cubic root of 95609984 is about 457.2647764100.

The spelling of 95609984 in words is "ninety-five million, six hundred nine thousand, nine hundred eighty-four".