95536560 has 320 divisors, whose sum is σ = 369976320. Its totient is φ = 19906560.

The previous prime is 95536559. The next prime is 95536589. The reversal of 95536560 is 6563559.

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 63 ways as a sum of consecutive naturals, for example, 1308684 + ... + 1308756.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 2^95536560 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 95536560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184988160).

95536560 is an abundant number, since it is smaller than the sum of its proper divisors (274439760).

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

95536560 is a wasteful number, since it uses less digits than its factorization.

95536560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 95536560 is about 9774.2805361827. The cubic root of 95536560 is about 457.1476937732.

The spelling of 95536560 in words is "ninety-five million, five hundred thirty-six thousand, five hundred sixty".