95803968 has 112 divisors (see below), whose sum is σ = 276002496. Its totient is φ = 29153280.

The previous prime is 95803951. The next prime is 95803991. The reversal of 95803968 is 86930859.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 326830 + ... + 327122.

It is an arithmetic number, because the mean of its divisors is an integer number (2464308).

Almost surely, 2^95803968 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 95803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138001248).

95803968 is an abundant number, since it is smaller than the sum of its proper divisors (180198528).

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

95803968 is a wasteful number, since it uses less digits than its factorization.

95803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 95803968 is about 9787.9501429053. The cubic root of 95803968 is about 457.5738171075.

The spelling of 95803968 in words is "ninety-five million, eight hundred three thousand, nine hundred sixty-eight".