1686577140 has 240 divisors, whose sum is σ = 5725665792. Its totient is φ = 413973504.

The previous prime is 1686577133. The next prime is 1686577141. The reversal of 1686577140 is 417756861.

1686577140 is a `hidden beast` number, since 1 + 68 + 6 + 577 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686577141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1293729 + ... + 1295031.

Almost surely, 2^1686577140 is an apocalyptic number.

1686577140 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 1686577140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862832896).

1686577140 is an abundant number, since it is smaller than the sum of its proper divisors (4039088652).

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

1686577140 is a wasteful number, since it uses less digits than its factorization.

1686577140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1686577140 is about 41067.9575825241. The cubic root of 1686577140 is about 1190.3337199293. Note that the first 3 decimals are identical.

The spelling of 1686577140 in words is "one billion, six hundred eighty-six million, five hundred seventy-seven thousand, one hundred forty".