95965584 has 240 divisors, whose sum is σ = 310313472. Its totient is φ = 25344000.

The previous prime is 95965579. The next prime is 95965601. The reversal of 95965584 is 48556959.

It is a super-2 number, since 2×95965584² = 18418786624922112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340604 + ... + 2340644.

Almost surely, 2^95965584 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 95965584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155156736).

95965584 is an abundant number, since it is smaller than the sum of its proper divisors (214347888).

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

95965584 is a wasteful number, since it uses less digits than its factorization.

95965584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 51.

The square root of 95965584 is about 9796.2025295519. The cubic root of 95965584 is about 457.8309731405.

The spelling of 95965584 in words is "ninety-five million, nine hundred sixty-five thousand, five hundred eighty-four".