95990688 has 72 divisors (see below), whose sum is σ = 276494400. Its totient is φ = 31584384.

The previous prime is 95990681. The next prime is 95990701. The reversal of 95990688 is 88609959.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (95990681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20643 + ... + 24861.

It is an arithmetic number, because the mean of its divisors is an integer number (3840200).

Almost surely, 2^95990688 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 95990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138247200).

95990688 is an abundant number, since it is smaller than the sum of its proper divisors (180503712).

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

95990688 is a wasteful number, since it uses less digits than its factorization.

95990688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 95990688 is about 9797.4837585984. The cubic root of 95990688 is about 457.8708915717.

The spelling of 95990688 in words is "ninety-five million, nine hundred ninety thousand, six hundred eighty-eight".