95579520 has 128 divisors (see below), whose sum is σ = 309623040. Its totient is φ = 25073664.

The previous prime is 95579483. The next prime is 95579521. The reversal of 95579520 is 2597559.

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95579521) 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, 128269 + ... + 129011.

It is an arithmetic number, because the mean of its divisors is an integer number (2418930).

Almost surely, 2^95579520 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 95579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

95579520 is an abundant number, since it is smaller than the sum of its proper divisors (214043520).

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

95579520 is a wasteful number, since it uses less digits than its factorization.

95579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 95579520 is about 9776.4778933929. The cubic root of 95579520 is about 457.2162054926.

The spelling of 95579520 in words is "ninety-five million, five hundred seventy-nine thousand, five hundred twenty".