1309016664 has 192 divisors, whose sum is σ = 3914127360. Its totient is φ = 393845760.

The previous prime is 1309016659. The next prime is 1309016669. The reversal of 1309016664 is 4666109031.

It is an interprime number because it is at equal distance from previous prime (1309016659) and next prime (1309016669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309016669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2207152 + ... + 2207744.

It is an arithmetic number, because the mean of its divisors is an integer number (20386080).

Almost surely, 2^1309016664 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 1309016664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957063680).

1309016664 is an abundant number, since it is smaller than the sum of its proper divisors (2605110696).

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

1309016664 is a wasteful number, since it uses less digits than its factorization.

1309016664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1309016664 is about 36180.3353218292. The cubic root of 1309016664 is about 1093.9103340289.

The spelling of 1309016664 in words is "one billion, three hundred nine million, sixteen thousand, six hundred sixty-four".