1659288960 has 288 divisors, whose sum is σ = 6666332400. Its totient is φ = 379201536.

The previous prime is 1659288959. The next prime is 1659288971. The reversal of 1659288960 is 698829561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1659288897 and 1659288906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279301 + ... + 285179.

Almost surely, 2^1659288960 is an apocalyptic number.

1659288960 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 1659288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333166200).

1659288960 is an abundant number, since it is smaller than the sum of its proper divisors (5007043440).

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

1659288960 is a wasteful number, since it uses less digits than its factorization.

1659288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1659288960 is about 40734.3707451091. The cubic root of 1659288960 is about 1183.8790660509.

The spelling of 1659288960 in words is "one billion, six hundred fifty-nine million, two hundred eighty-eight thousand, nine hundred sixty".