95865000 has 320 divisors, whose sum is σ = 377879040. Its totient is φ = 19680000.

The previous prime is 95864983. The next prime is 95865037. The reversal of 95865000 is 56859.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1154959 + ... + 1155041.

It is an arithmetic number, because the mean of its divisors is an integer number (1180872).

Almost surely, 2^95865000 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 95865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188939520).

95865000 is an abundant number, since it is smaller than the sum of its proper divisors (282014040).

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

95865000 is a wasteful number, since it uses less digits than its factorization.

95865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 95865000 is about 9791.0673575459. The cubic root of 95865000 is about 457.6709624125.

The spelling of 95865000 in words is "ninety-five million, eight hundred sixty-five thousand".