95956000 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 31257600.

The previous prime is 95955997. The next prime is 95956001. The reversal of 95956000 is 65959.

It is not an unprimeable number, because it can be changed into a prime (95956001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643926 + ... + 644074.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^95956000 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 95956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

95956000 is an abundant number, since it is smaller than the sum of its proper divisors (187090400).

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

95956000 is a wasteful number, since it uses less digits than its factorization.

95956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 95956000 is about 9795.7133481947. The cubic root of 95956000 is about 457.8157315718.

The spelling of 95956000 in words is "ninety-five million, nine hundred fifty-six thousand".