1604117120 has 64 divisors (see below), whose sum is σ = 3883507200. Its totient is φ = 633504768.

The previous prime is 1604117077. The next prime is 1604117167. The reversal of 1604117120 is 217114061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34697 + ... + 66423.

It is an arithmetic number, because the mean of its divisors is an integer number (60679800).

Almost surely, 2^1604117120 is an apocalyptic number.

1604117120 is a gapful number since it is divisible by the number (10) 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 1604117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941753600).

1604117120 is an abundant number, since it is smaller than the sum of its proper divisors (2279390080).

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

1604117120 is an equidigital number, since it uses as much as digits as its factorization.

1604117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31825 (or 31813 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 1604117120 is about 40051.4309357356. The cubic root of 1604117120 is about 1170.6094470182.

The spelling of 1604117120 in words is "one billion, six hundred four million, one hundred seventeen thousand, one hundred twenty".