95808960 has 224 divisors, whose sum is σ = 364418880. Its totient is φ = 23556096.

The previous prime is 95808931. The next prime is 95808989. The reversal of 95808960 is 6980859.

95808960 is a `hidden beast` number, since 9 + 580 + 8 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (95808931) and next prime (95808989).

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 31 ways as a sum of consecutive naturals, for example, 111894 + ... + 112746.

It is an arithmetic number, because the mean of its divisors is an integer number (1626870).

Almost surely, 2^95808960 is an apocalyptic number.

95808960 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 95808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182209440).

95808960 is an abundant number, since it is smaller than the sum of its proper divisors (268609920).

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

95808960 is a wasteful number, since it uses less digits than its factorization.

95808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 876 counting only the distinct ones).

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

The square root of 95808960 is about 9788.2051470124. The cubic root of 95808960 is about 457.5817644778.

The spelling of 95808960 in words is "ninety-five million, eight hundred eight thousand, nine hundred sixty".