1664966160 has 480 divisors, whose sum is σ = 6675072768. Its totient is φ = 366612480.

The previous prime is 1664966153. The next prime is 1664966161. The reversal of 1664966160 is 616694661.

It is a super-2 number, since 2×1664966160² = 5544224627890291200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1664966161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10604802 + ... + 10604958.

Almost surely, 2^1664966160 is an apocalyptic number.

1664966160 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 1664966160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337536384).

1664966160 is an abundant number, since it is smaller than the sum of its proper divisors (5010106608).

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

1664966160 is a wasteful number, since it uses less digits than its factorization.

1664966160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 1664966160 is about 40803.9968630525. The cubic root of 1664966160 is about 1185.2277295598.

The spelling of 1664966160 in words is "one billion, six hundred sixty-four million, nine hundred sixty-six thousand, one hundred sixty".