1686468384 has 96 divisors (see below), whose sum is σ = 4969823040. Its totient is φ = 556333056.

The previous prime is 1686468373. The next prime is 1686468389. The reversal of 1686468384 is 4838646861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1686468384² = 5688351220463142912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1686468384.

It is not an unprimeable number, because it can be changed into a prime (1686468389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73747 + ... + 93869.

It is an arithmetic number, because the mean of its divisors is an integer number (51768990).

Almost surely, 2^1686468384 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 1686468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484911520).

1686468384 is an abundant number, since it is smaller than the sum of its proper divisors (3283354656).

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

1686468384 is a wasteful number, since it uses less digits than its factorization.

1686468384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20239 (or 20225 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 1686468384 is about 41066.6334631900. The cubic root of 1686468384 is about 1190.3081338446.

The spelling of 1686468384 in words is "one billion, six hundred eighty-six million, four hundred sixty-eight thousand, three hundred eighty-four".