840559104 has 480 divisors, whose sum is σ = 3186653184. Its totient is φ = 206807040.

The previous prime is 840559087. The next prime is 840559129. The reversal of 840559104 is 401955048.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8160717 + ... + 8160819.

Almost surely, 2^840559104 is an apocalyptic number.

840559104 is a gapful number since it is divisible by the number (84) 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 840559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593326592).

840559104 is an abundant number, since it is smaller than the sum of its proper divisors (2346094080).

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

840559104 is a wasteful number, since it uses less digits than its factorization.

840559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 840559104 is about 28992.3973482705. The cubic root of 840559104 is about 943.7480894425.

The spelling of 840559104 in words is "eight hundred forty million, five hundred fifty-nine thousand, one hundred four".