95968500 has 96 divisors (see below), whose sum is σ = 282102912. Its totient is φ = 25350400.

The previous prime is 95968493. The next prime is 95968517. The reversal of 95968500 is 586959.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205267 + ... + 205733.

It is an arithmetic number, because the mean of its divisors is an integer number (2938572).

Almost surely, 2^95968500 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 95968500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141051456).

95968500 is an abundant number, since it is smaller than the sum of its proper divisors (186134412).

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

95968500 is a wasteful number, since it uses less digits than its factorization.

95968500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 95968500 is about 9796.3513616040. The cubic root of 95968500 is about 457.8356102946.

The spelling of 95968500 in words is "ninety-five million, nine hundred sixty-eight thousand, five hundred".