95950848 has 192 divisors, whose sum is σ = 308206080. Its totient is φ = 25952256.

The previous prime is 95950837. The next prime is 95950849. The reversal of 95950848 is 84805959.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 95950797 and 95950806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95950849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989136 + ... + 989232.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^95950848 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 95950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

95950848 is an abundant number, since it is smaller than the sum of its proper divisors (212255232).

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

95950848 is a wasteful number, since it uses less digits than its factorization.

95950848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 95950848 is about 9795.4503724944. The cubic root of 95950848 is about 457.8075378550.

The spelling of 95950848 in words is "ninety-five million, nine hundred fifty thousand, eight hundred forty-eight".