1604838984 has 96 divisors (see below), whose sum is σ = 4870134720. Its totient is φ = 438582144.

The previous prime is 1604838979. The next prime is 1604839013. The reversal of 1604838984 is 4898384061.

It is a super-4 number, since 4×1604838984⁴ (a number of 38 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2619 + ... + 56714.

It is an arithmetic number, because the mean of its divisors is an integer number (50730570).

Almost surely, 2^1604838984 is an apocalyptic number.

1604838984 is a gapful number since it is divisible by the number (14) 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 1604838984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435067360).

1604838984 is an abundant number, since it is smaller than the sum of its proper divisors (3265295736).

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

1604838984 is a wasteful number, since it uses less digits than its factorization.

1604838984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59379 (or 59368 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 1604838984 is about 40060.4416351093. The cubic root of 1604838984 is about 1170.7850148500.

The spelling of 1604838984 in words is "one billion, six hundred four million, eight hundred thirty-eight thousand, nine hundred eighty-four".