1019313664 has 40 divisors (see below), whose sum is σ = 2039780160. Its totient is φ = 508870656.

The previous prime is 1019313643. The next prime is 1019313671. The reversal of 1019313664 is 4663139101.

It is a happy number.

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 3 ways as a sum of consecutive naturals, for example, 474577 + ... + 476719.

It is an arithmetic number, because the mean of its divisors is an integer number (50994504).

Almost surely, 2^1019313664 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 1019313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019890080).

1019313664 is an abundant number, since it is smaller than the sum of its proper divisors (1020466496).

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

1019313664 is an frugal number, since it uses more digits than its factorization.

1019313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 1019313664 is about 31926.6920303372. The cubic root of 1019313664 is about 1006.3968806641.

The spelling of 1019313664 in words is "one billion, nineteen million, three hundred thirteen thousand, six hundred sixty-four".