1686616064 has 96 divisors (see below), whose sum is σ = 3934476000. Its totient is φ = 722835456.

The previous prime is 1686616049. The next prime is 1686616081. The reversal of 1686616064 is 4606166861.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240945149 + ... + 240945155.

It is an arithmetic number, because the mean of its divisors is an integer number (40984125).

Almost surely, 2^1686616064 is an apocalyptic number.

1686616064 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 1686616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967238000).

1686616064 is an abundant number, since it is smaller than the sum of its proper divisors (2247859936).

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

1686616064 is an frugal number, since it uses more digits than its factorization.

1686616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 1686616064 is about 41068.4314772308. The cubic root of 1686616064 is about 1190.3428769753.

The spelling of 1686616064 in words is "one billion, six hundred eighty-six million, six hundred sixteen thousand, sixty-four".