1689516864 has 252 divisors, whose sum is σ = 5818071168. Its totient is φ = 466905600.

The previous prime is 1689516863. The next prime is 1689516869. The reversal of 1689516864 is 4686159861.

1689516864 is a `hidden beast` number, since 1 + 68 + 9 + 516 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 1689516864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1689516863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 873979 + ... + 875909.

It is an arithmetic number, because the mean of its divisors is an integer number (23087584).

Almost surely, 2^1689516864 is an apocalyptic number.

1689516864 is a gapful number since it is divisible by the number (14) 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 1689516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909035584).

1689516864 is an abundant number, since it is smaller than the sum of its proper divisors (4128554304).

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

1689516864 is a wasteful number, since it uses less digits than its factorization.

1689516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1974 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1689516864 is about 41103.7329691599. The cubic root of 1689516864 is about 1191.0249071092.

The spelling of 1689516864 in words is "one billion, six hundred eighty-nine million, five hundred sixteen thousand, eight hundred sixty-four".