959904 has 96 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 288000.

The previous prime is 959887. The next prime is 959911. The reversal of 959904 is 409959.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

959904 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 15 ways as a sum of consecutive naturals, for example, 9454 + ... + 9554.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁹⁵⁹⁹⁰⁴ 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 959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240).

959904 is an abundant number, since it is smaller than the sum of its proper divisors (2124576).

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

959904 is a wasteful number, since it uses less digits than its factorization.

959904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 959904 is about 979.7469060936. The cubic root of 959904 is about 98.6451945808.

Subtracting from 959904 its reverse (409959), we obtain a palindrome (549945).

It can be divided in two parts, 95 and 9904, that added together give a palindrome (9999).

The spelling of 959904 in words is "nine hundred fifty-nine thousand, nine hundred four".