95789568 has 160 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 26726400.

The previous prime is 95789563. The next prime is 95789591. The reversal of 95789568 is 86598759.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (95789563) 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, 634293 + ... + 634443.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^95789568 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 95789568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

95789568 is an abundant number, since it is smaller than the sum of its proper divisors (202762752).

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

95789568 is a wasteful number, since it uses less digits than its factorization.

95789568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The square root of 95789568 is about 9787.2145169093. The cubic root of 95789568 is about 457.5508904541.

It can be divided in two parts, 957 and 89568, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 95789568 in words is "ninety-five million, seven hundred eighty-nine thousand, five hundred sixty-eight".