1604080368 has 160 divisors (see below), whose sum is σ = 5185382400. Its totient is φ = 470361600.

The previous prime is 1604080363. The next prime is 1604080369. The reversal of 1604080368 is 8630804061.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604080363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141868 + ... + 152756.

It is an arithmetic number, because the mean of its divisors is an integer number (32408640).

Almost surely, 2^1604080368 is an apocalyptic number.

1604080368 is a gapful number since it is divisible by the number (18) 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 1604080368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592691200).

1604080368 is an abundant number, since it is smaller than the sum of its proper divisors (3581302032).

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

1604080368 is a wasteful number, since it uses less digits than its factorization.

1604080368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1604080368 is about 40050.9721230334. The cubic root of 1604080368 is about 1170.6005069879.

The spelling of 1604080368 in words is "one billion, six hundred four million, eighty thousand, three hundred sixty-eight".