95938800 has 120 divisors (see below), whose sum is σ = 317360640. Its totient is φ = 24748800.

The previous prime is 95938793. The next prime is 95938813. The reversal of 95938800 is 883959.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35911 + ... + 38489.

It is an arithmetic number, because the mean of its divisors is an integer number (2644672).

Almost surely, 2^95938800 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 95938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158680320).

95938800 is an abundant number, since it is smaller than the sum of its proper divisors (221421840).

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

95938800 is a wasteful number, since it uses less digits than its factorization.

95938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 95938800 is about 9794.8353738080. The cubic root of 95938800 is about 457.7883756270.

The spelling of 95938800 in words is "ninety-five million, nine hundred thirty-eight thousand, eight hundred".