95915952 has 120 divisors (see below), whose sum is σ = 308343360. Its totient is φ = 27527040.

The previous prime is 95915947. The next prime is 95915983. The reversal of 95915952 is 25951959.

95915952 is a `hidden beast` number, since 9 + 59 + 1 + 595 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 95915898 and 95915907.

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, 28503 + ... + 31689.

It is an arithmetic number, because the mean of its divisors is an integer number (2569528).

Almost surely, 2^95915952 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 95915952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154171680).

95915952 is an abundant number, since it is smaller than the sum of its proper divisors (212427408).

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

95915952 is a wasteful number, since it uses less digits than its factorization.

95915952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3222 counting only the distinct ones).

The product of its digits is 182250, while the sum is 45.

The square root of 95915952 is about 9793.6689754147. The cubic root of 95915952 is about 457.7520316965.

The spelling of 95915952 in words is "ninety-five million, nine hundred fifteen thousand, nine hundred fifty-two".