95506560 has 128 divisors (see below), whose sum is σ = 338313600. Its totient is φ = 25463808.

The previous prime is 95506549. The next prime is 95506591. The reversal of 95506560 is 6560559.

95506560 is a `hidden beast` number, since 95 + 5 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14517 + ... + 20043.

It is an arithmetic number, because the mean of its divisors is an integer number (2643075).

Almost surely, 2^95506560 is an apocalyptic number.

95506560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169156800).

95506560 is an abundant number, since it is smaller than the sum of its proper divisors (242807040).

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

95506560 is a wasteful number, since it uses less digits than its factorization.

95506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5555 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 95506560 is about 9772.7457758810. The cubic root of 95506560 is about 457.0998382138.

It can be divided in two parts, 9550 and 6560, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 95506560 in words is "ninety-five million, five hundred six thousand, five hundred sixty".