1664580960 has 432 divisors, whose sum is σ = 6829909632. Its totient is φ = 367718400.

The previous prime is 1664580949. The next prime is 1664580961. The reversal of 1664580960 is 690854661.

1664580960 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 580 + 9 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664580961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186980 + ... + 2187740.

It is an arithmetic number, because the mean of its divisors is an integer number (15809976).

Almost surely, 2^1664580960 is an apocalyptic number.

1664580960 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 1664580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414954816).

1664580960 is an abundant number, since it is smaller than the sum of its proper divisors (5165328672).

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

1664580960 is a wasteful number, since it uses less digits than its factorization.

1664580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1664580960 is about 40799.2764641727. The cubic root of 1664580960 is about 1185.1363193066.

The spelling of 1664580960 in words is "one billion, six hundred sixty-four million, five hundred eighty thousand, nine hundred sixty".