1604667840 has 224 divisors, whose sum is σ = 5315224320. Its totient is φ = 409804800.

The previous prime is 1604667839. The next prime is 1604667907. The reversal of 1604667840 is 487664061.

It is a junction number, because it is equal to n+sod(n) for n = 1604667792 and 1604667801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2321895 + ... + 2322585.

It is an arithmetic number, because the mean of its divisors is an integer number (23728680).

Almost surely, 2^1604667840 is an apocalyptic number.

1604667840 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 1604667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657612160).

1604667840 is an abundant number, since it is smaller than the sum of its proper divisors (3710556480).

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

1604667840 is a wasteful number, since it uses less digits than its factorization.

1604667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1604667840 is about 40058.3055058498. The cubic root of 1604667840 is about 1170.7433949003.

The spelling of 1604667840 in words is "one billion, six hundred four million, six hundred sixty-seven thousand, eight hundred forty".