1686824140 has 96 divisors (see below), whose sum is σ = 3780919296. Its totient is φ = 630812160.

The previous prime is 1686824131. The next prime is 1686824141. The reversal of 1686824140 is 414286861.

It is a junction number, because it is equal to n+sod(n) for n = 1686824093 and 1686824102.

It is not an unprimeable number, because it can be changed into a prime (1686824141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6413649 + ... + 6413911.

It is an arithmetic number, because the mean of its divisors is an integer number (39384576).

Almost surely, 2^1686824140 is an apocalyptic number.

1686824140 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 1686824140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890459648).

1686824140 is an abundant number, since it is smaller than the sum of its proper divisors (2094095156).

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

1686824140 is a wasteful number, since it uses less digits than its factorization.

1686824140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 1686824140 is about 41070.9646830946. The cubic root of 1686824140 is about 1190.3918254003.

The spelling of 1686824140 in words is "one billion, six hundred eighty-six million, eight hundred twenty-four thousand, one hundred forty".