1916164560 has 320 divisors, whose sum is σ = 6479585280. Its totient is φ = 467281920.

The previous prime is 1916164559. The next prime is 1916164631. The reversal of 1916164560 is 654616191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17908027 + ... + 17908133.

It is an arithmetic number, because the mean of its divisors is an integer number (20248704).

Almost surely, 2^1916164560 is an apocalyptic number.

1916164560 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 1916164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239792640).

1916164560 is an abundant number, since it is smaller than the sum of its proper divisors (4563420720).

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

1916164560 is a wasteful number, since it uses less digits than its factorization.

1916164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1916164560 is about 43774.0169506980. The cubic root of 1916164560 is about 1242.0648393055.

The spelling of 1916164560 in words is "one billion, nine hundred sixteen million, one hundred sixty-four thousand, five hundred sixty".