95940 has 72 divisors (see below), whose sum is σ = 321048. Its totient is φ = 23040.

The previous prime is 95929. The next prime is 95947. The reversal of 95940 is 4959.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 93636 = 48^2 + 306^2 .

It is not an unprimeable number, because it can be changed into a prime (95947) by changing a digit.

95940 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 23 ways as a sum of consecutive naturals, for example, 2320 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (4459).

2⁹⁵⁹⁴⁰ is an apocalyptic number.

95940 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 95940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524).

95940 is an abundant number, since it is smaller than the sum of its proper divisors (225108).

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

95940 is a wasteful number, since it uses less digits than its factorization.

95940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 95940 is about 309.7418279794. The cubic root of 95940 is about 45.7790284287.

It can be divided in two parts, 959 and 40, that added together give a palindrome (999).

The spelling of 95940 in words is "ninety-five thousand, nine hundred forty".