1686493956 has 192 divisors, whose sum is σ = 4838400000. Its totient is φ = 456382080.

The previous prime is 1686493933. The next prime is 1686493957. The reversal of 1686493956 is 6593946861.

It is a junction number, because it is equal to n+sod(n) for n = 1686493896 and 1686493905.

It is not an unprimeable number, because it can be changed into a prime (1686493957) 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 63 ways as a sum of consecutive naturals, for example, 8474745 + ... + 8474943.

It is an arithmetic number, because the mean of its divisors is an integer number (25200000).

Almost surely, 2^1686493956 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 1686493956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200000).

1686493956 is an abundant number, since it is smaller than the sum of its proper divisors (3151906044).

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

1686493956 is a wasteful number, since it uses less digits than its factorization.

1686493956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 1686493956 is about 41066.9448096641. The cubic root of 1686493956 is about 1190.3141500470.

The spelling of 1686493956 in words is "one billion, six hundred eighty-six million, four hundred ninety-three thousand, nine hundred fifty-six".