1604047840 has 96 divisors (see below), whose sum is σ = 3860752896. Its totient is φ = 629690880.

The previous prime is 1604047831. The next prime is 1604047843. The reversal of 1604047840 is 487404061.

It is a junction number, because it is equal to n+sod(n) for n = 1604047796 and 1604047805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1604047843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158509 + ... + 2159251.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 2^1604047840 is an apocalyptic number.

1604047840 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 1604047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

1604047840 is an abundant number, since it is smaller than the sum of its proper divisors (2256705056).

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

1604047840 is a wasteful number, since it uses less digits than its factorization.

1604047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 1604047840 is about 40050.5660384469. The cubic root of 1604047840 is about 1170.5925943439.

The spelling of 1604047840 in words is "one billion, six hundred four million, forty-seven thousand, eight hundred forty".