1659029904 has 160 divisors (see below), whose sum is σ = 5575476480. Its totient is φ = 462412800.

The previous prime is 1659029899. The next prime is 1659029917. The reversal of 1659029904 is 4099209561.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1659029904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117294 + ... + 130674.

It is an arithmetic number, because the mean of its divisors is an integer number (34846728).

Almost surely, 2^1659029904 is an apocalyptic number.

1659029904 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 1659029904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787738240).

1659029904 is an abundant number, since it is smaller than the sum of its proper divisors (3916446576).

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

1659029904 is a wasteful number, since it uses less digits than its factorization.

1659029904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1659029904 is about 40731.1908001718. The cubic root of 1659029904 is about 1183.8174519209.

The spelling of 1659029904 in words is "one billion, six hundred fifty-nine million, twenty-nine thousand, nine hundred four".