591960960 has 320 divisors, whose sum is σ = 2228965200. Its totient is φ = 149299200.

The previous prime is 591960953. The next prime is 591960973. The reversal of 591960960 is 69069195.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 984660 + ... + 985260.

Almost surely, 2^591960960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 591960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114482600).

591960960 is an abundant number, since it is smaller than the sum of its proper divisors (1637004240).

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

591960960 is a wasteful number, since it uses less digits than its factorization.

591960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 591960960 is about 24330.2478409078. The cubic root of 591960960 is about 839.6488328047.

The spelling of 591960960 in words is "five hundred ninety-one million, nine hundred sixty thousand, nine hundred sixty".