95646656 has 112 divisors (see below), whose sum is σ = 229404672. Its totient is φ = 38707200.

The previous prime is 95646653. The next prime is 95646671. The reversal of 95646656 is 65664659.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 95646656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95646653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986000 + ... + 986096.

It is an arithmetic number, because the mean of its divisors is an integer number (2048256).

Almost surely, 2^95646656 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 95646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114702336).

95646656 is an abundant number, since it is smaller than the sum of its proper divisors (133758016).

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

95646656 is a wasteful number, since it uses less digits than its factorization.

95646656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 47.

The square root of 95646656 is about 9779.9108380394. The cubic root of 95646656 is about 457.3232314991.

The spelling of 95646656 in words is "ninety-five million, six hundred forty-six thousand, six hundred fifty-six".