1604591040 has 448 divisors, whose sum is σ = 5919459840. Its totient is φ = 364953600.

The previous prime is 1604590997. The next prime is 1604591117. The reversal of 1604591040 is 401954061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1604590989 and 1604591007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15886990 + ... + 15887090.

It is an arithmetic number, because the mean of its divisors is an integer number (13213080).

Almost surely, 2^1604591040 is an apocalyptic number.

1604591040 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 1604591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959729920).

1604591040 is an abundant number, since it is smaller than the sum of its proper divisors (4314868800).

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

1604591040 is a wasteful number, since it uses less digits than its factorization.

1604591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1604591040 is about 40057.3468916752. The cubic root of 1604591040 is about 1170.7247171974.

The spelling of 1604591040 in words is "one billion, six hundred four million, five hundred ninety-one thousand, forty".