95917680 has 120 divisors (see below), whose sum is σ = 325559520. Its totient is φ = 25305600.

The previous prime is 95917609. The next prime is 95917691. The reversal of 95917680 is 8671959.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72061 + ... + 73379.

It is an arithmetic number, because the mean of its divisors is an integer number (2712996).

Almost surely, 2^95917680 is an apocalyptic number.

95917680 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 95917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162779760).

95917680 is an abundant number, since it is smaller than the sum of its proper divisors (229641840).

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

95917680 is a wasteful number, since it uses less digits than its factorization.

95917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 95917680 is about 9793.7571952750. The cubic root of 95917680 is about 457.7547805989.

It can be divided in two parts, 9591 and 7680, that added together give a palindrome (17271).

The spelling of 95917680 in words is "ninety-five million, nine hundred seventeen thousand, six hundred eighty".