95760 has 120 divisors (see below), whose sum is σ = 386880. Its totient is φ = 20736.

The previous prime is 95747. The next prime is 95773. The reversal of 95760 is 6759.

It is an interprime number because it is at equal distance from previous prime (95747) and next prime (95773).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an unprimeable number.

95760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5031 + ... + 5049.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2⁹⁵⁷⁶⁰ is an apocalyptic number.

95760 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 95760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440).

95760 is an abundant number, since it is smaller than the sum of its proper divisors (291120).

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

95760 is a wasteful number, since it uses less digits than its factorization.

95760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 95760 is about 309.4511269975. The cubic root of 95760 is about 45.7503807189.

The spelling of 95760 in words is "ninety-five thousand, seven hundred sixty".