904168960 has 160 divisors (see below), whose sum is σ = 2364357600. Its totient is φ = 330301440.

The previous prime is 904168949. The next prime is 904168961. The reversal of 904168960 is 69861409.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904168961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410240 + ... + 1410880.

It is an arithmetic number, because the mean of its divisors is an integer number (14777235).

Almost surely, 2^904168960 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 904168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182178800).

904168960 is an abundant number, since it is smaller than the sum of its proper divisors (1460188640).

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

904168960 is a wasteful number, since it uses less digits than its factorization.

904168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 904168960 is about 30069.4023884746. The cubic root of 904168960 is about 966.9778614935.

The spelling of 904168960 in words is "nine hundred four million, one hundred sixty-eight thousand, nine hundred sixty".