95920 has 40 divisors (see below), whose sum is σ = 245520. Its totient is φ = 34560.

The previous prime is 95917. The next prime is 95923. The reversal of 95920 is 2959.

It is an interprime number because it is at equal distance from previous prime (95917) and next prime (95923).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (95923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826 + ... + 934.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2⁹⁵⁹²⁰ 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 95920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

95920 is an abundant number, since it is smaller than the sum of its proper divisors (149600).

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

95920 is a wasteful number, since it uses less digits than its factorization.

95920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 95920 is about 309.7095413448. The cubic root of 95920 is about 45.7758471203.

It can be divided in two parts, 959 and 20, that added together give a palindrome (979).

The spelling of 95920 in words is "ninety-five thousand, nine hundred twenty".