1664767160 has 144 divisors (see below), whose sum is σ = 4630235400. Its totient is φ = 537019392.

The previous prime is 1664767141. The next prime is 1664767171. The reversal of 1664767160 is 617674661.

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, 564971 + ... + 567909.

Almost surely, 2^1664767160 is an apocalyptic number.

1664767160 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 1664767160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315117700).

1664767160 is an abundant number, since it is smaller than the sum of its proper divisors (2965468240).

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

1664767160 is a wasteful number, since it uses less digits than its factorization.

1664767160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 1664767160 is about 40801.5583035746. The cubic root of 1664767160 is about 1185.1805074357.

The spelling of 1664767160 in words is "one billion, six hundred sixty-four million, seven hundred sixty-seven thousand, one hundred sixty".