1930001664 has 72 divisors (see below), whose sum is σ = 5144846112. Its totient is φ = 642304000.

The previous prime is 1930001657. The next prime is 1930001771. The reversal of 1930001664 is 4661000391.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592039 + ... + 595289.

It is an arithmetic number, because the mean of its divisors is an integer number (71456196).

Almost surely, 2^1930001664 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 1930001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572423056).

1930001664 is an abundant number, since it is smaller than the sum of its proper divisors (3214844448).

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

1930001664 is an equidigital number, since it uses as much as digits as its factorization.

1930001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1930001664 is about 43931.7842114340. The cubic root of 1930001664 is about 1245.0474251704.

The spelling of 1930001664 in words is "one billion, nine hundred thirty million, one thousand, six hundred sixty-four".