1686516552 has 160 divisors (see below), whose sum is σ = 5716465920. Its totient is φ = 453496320.

The previous prime is 1686516527. The next prime is 1686516553. The reversal of 1686516552 is 2556156861.

1686516552 is a `hidden beast` number, since 1 + 6 + 86 + 5 + 16 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1686516498 and 1686516507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686516553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66177 + ... + 88047.

It is an arithmetic number, because the mean of its divisors is an integer number (35727912).

Almost surely, 2^1686516552 is an apocalyptic number.

1686516552 is a gapful number since it is divisible by the number (12) 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 1686516552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858232960).

1686516552 is an abundant number, since it is smaller than the sum of its proper divisors (4029949368).

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

1686516552 is a wasteful number, since it uses less digits than its factorization.

1686516552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21913 (or 21900 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 1686516552 is about 41067.2199205157. The cubic root of 1686516552 is about 1190.3194660496.

The spelling of 1686516552 in words is "one billion, six hundred eighty-six million, five hundred sixteen thousand, five hundred fifty-two".