1659438560 has 96 divisors (see below), whose sum is σ = 4245115392. Its totient is φ = 609361920.

The previous prime is 1659438467. The next prime is 1659438607. The reversal of 1659438560 is 658349561.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 395192 + ... + 399368.

It is an arithmetic number, because the mean of its divisors is an integer number (44219952).

Almost surely, 2^1659438560 is an apocalyptic number.

1659438560 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 1659438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122557696).

1659438560 is an abundant number, since it is smaller than the sum of its proper divisors (2585676832).

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

1659438560 is a wasteful number, since it uses less digits than its factorization.

1659438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The square root of 1659438560 is about 40736.2069908331. The cubic root of 1659438560 is about 1183.9146441389.

The spelling of 1659438560 in words is "one billion, six hundred fifty-nine million, four hundred thirty-eight thousand, five hundred sixty".