1659559104 has 560 divisors, whose sum is σ = 6195974400. Its totient is φ = 428488704.

The previous prime is 1659559103. The next prime is 1659559141. The reversal of 1659559104 is 4019559561.

It is a happy number.

1659559104 is a `hidden beast` number, since 1 + 6 + 59 + 5 + 591 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1659559104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1659559103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19994647 + ... + 19994729.

It is an arithmetic number, because the mean of its divisors is an integer number (11064240).

Almost surely, 2^1659559104 is an apocalyptic number.

1659559104 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 1659559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097987200).

1659559104 is an abundant number, since it is smaller than the sum of its proper divisors (4536415296).

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

1659559104 is a wasteful number, since it uses less digits than its factorization.

1659559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The square root of 1659559104 is about 40737.6865322517. The cubic root of 1659559104 is about 1183.9433105315.

The spelling of 1659559104 in words is "one billion, six hundred fifty-nine million, five hundred fifty-nine thousand, one hundred four".