1664076960 has 960 divisors, whose sum is σ = 7745455872. Its totient is φ = 326467584.

The previous prime is 1664076941. The next prime is 1664076983. The reversal of 1664076960 is 696704661.

It is a happy number.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20049079 + ... + 20049161.

Almost surely, 2^1664076960 is an apocalyptic number.

1664076960 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 1664076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872727936).

1664076960 is an abundant number, since it is smaller than the sum of its proper divisors (6081378912).

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

1664076960 is a wasteful number, since it uses less digits than its factorization.

1664076960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1664076960 is about 40793.0994164454. The cubic root of 1664076960 is about 1185.0166958071.

The spelling of 1664076960 in words is "one billion, six hundred sixty-four million, seventy-six thousand, nine hundred sixty".