95768260 has 48 divisors (see below), whose sum is σ = 231436800. Its totient is φ = 32607360.

The previous prime is 95768249. The next prime is 95768261. The reversal of 95768260 is 6286759.

It is not an unprimeable number, because it can be changed into a prime (95768261) 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, 18565 + ... + 23155.

It is an arithmetic number, because the mean of its divisors is an integer number (4821600).

Almost surely, 2^95768260 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 95768260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115718400).

95768260 is an abundant number, since it is smaller than the sum of its proper divisors (135668540).

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

95768260 is a wasteful number, since it uses less digits than its factorization.

95768260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 95768260 is about 9786.1258933247. The cubic root of 95768260 is about 457.5169611596.

The spelling of 95768260 in words is "ninety-five million, seven hundred sixty-eight thousand, two hundred sixty".