659640960 has 384 divisors, whose sum is σ = 2577744000. Its totient is φ = 153968640.

The previous prime is 659640901. The next prime is 659640973. The reversal of 659640960 is 69046956.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×659640960² = 870252392219443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1837261 + ... + 1837619.

It is an arithmetic number, because the mean of its divisors is an integer number (6712875).

Almost surely, 2^659640960 is an apocalyptic number.

659640960 is a gapful number since it is divisible by the number (60) 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 659640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288872000).

659640960 is an abundant number, since it is smaller than the sum of its proper divisors (1918103040).

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

659640960 is a wasteful number, since it uses less digits than its factorization.

659640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 659640960 is about 25683.4764002072. The cubic root of 659640960 is about 870.5008610231.

It can be divided in two parts, 65 and 9640960, that added together give a square (9641025 = 3105²).

The spelling of 659640960 in words is "six hundred fifty-nine million, six hundred forty thousand, nine hundred sixty".