95976 has 48 divisors (see below), whose sum is σ = 274560. Its totient is φ = 30240.

The previous prime is 95971. The next prime is 95987. The reversal of 95976 is 67959.

It is a super-2 number, since 2×95976² = 18422785152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 95976.

It is not an unprimeable number, because it can be changed into a prime (95971) by changing a digit.

95976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2211 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (5720).

2⁹⁵⁹⁷⁶ 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 95976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137280).

95976 is an abundant number, since it is smaller than the sum of its proper divisors (178584).

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

95976 is a wasteful number, since it uses less digits than its factorization.

95976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 79 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 95976 is about 309.7999354422. The cubic root of 95976 is about 45.7847536700.

It can be divided in two parts, 959 and 76, that added together give a triangular number (1035 = T₄₅).

The spelling of 95976 in words is "ninety-five thousand, nine hundred seventy-six".