95880960 has 432 divisors, whose sum is σ = 401768640. Its totient is φ = 20643840.

The previous prime is 95880947. The next prime is 95880971. The reversal of 95880960 is 6908859.

95880960 is a `hidden beast` number, since 9 + 588 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2338540 + ... + 2338580.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^95880960 is an apocalyptic number.

95880960 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 95880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

95880960 is an abundant number, since it is smaller than the sum of its proper divisors (305887680).

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

95880960 is a wasteful number, since it uses less digits than its factorization.

95880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 95880960 is about 9791.8823522344. The cubic root of 95880960 is about 457.6963593187.

It can be divided in two parts, 958 and 80960, that added together give a palindrome (81918).

The spelling of 95880960 in words is "ninety-five million, eight hundred eighty thousand, nine hundred sixty".