95289360 has 80 divisors (see below), whose sum is σ = 305605440. Its totient is φ = 24532480.

The previous prime is 95289349. The next prime is 95289361. The reversal of 95289360 is 6398259.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (95289361) 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, 115 + ... + 13805.

It is an arithmetic number, because the mean of its divisors is an integer number (3820068).

Almost surely, 2^95289360 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 95289360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152802720).

95289360 is an abundant number, since it is smaller than the sum of its proper divisors (210316080).

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

95289360 is a wasteful number, since it uses less digits than its factorization.

95289360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13730 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 95289360 is about 9761.6269135836. The cubic root of 95289360 is about 456.7530646791.

The spelling of 95289360 in words is "ninety-five million, two hundred eighty-nine thousand, three hundred sixty".