95376384 has 132 divisors (see below), whose sum is σ = 281012160. Its totient is φ = 31150080.

The previous prime is 95376383. The next prime is 95376397. The reversal of 95376384 is 48367359.

95376384 is a `hidden beast` number, since 9 + 5 + 3 + 7 + 638 + 4 = 666.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95376383) 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 11 ways as a sum of consecutive naturals, for example, 727999 + ... + 728129.

It is an arithmetic number, because the mean of its divisors is an integer number (2128880).

Almost surely, 2^95376384 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 95376384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140506080).

95376384 is an abundant number, since it is smaller than the sum of its proper divisors (185635776).

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

95376384 is a wasteful number, since it uses less digits than its factorization.

95376384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 95376384 is about 9766.0833500437. The cubic root of 95376384 is about 456.8920672030.

The spelling of 95376384 in words is "ninety-five million, three hundred seventy-six thousand, three hundred eighty-four".