95904 has 60 divisors (see below), whose sum is σ = 289674. Its totient is φ = 31104.

The previous prime is 95891. The next prime is 95911. The reversal of 95904 is 40959.

It is a happy number.

95904 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 32400 = 252^2 + 180^2 .

It is a super-3 number, since 3×95904³ = 2646253335969792, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 95904.

It is an unprimeable number.

95904 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 9 ways as a sum of consecutive naturals, for example, 2574 + ... + 2610.

2⁹⁵⁹⁰⁴ 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 95904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837).

95904 is an abundant number, since it is smaller than the sum of its proper divisors (193770).

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

95904 is a wasteful number, since it uses less digits than its factorization.

95904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

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

The square root of 95904 is about 309.6837096135. The cubic root of 95904 is about 45.7733017551.

Subtracting from 95904 its reverse (40959), we obtain a palindrome (54945).

It can be divided in two parts, 95 and 904, that added together give a palindrome (999).

The spelling of 95904 in words is "ninety-five thousand, nine hundred four".