1686023040 has 256 divisors, whose sum is σ = 5977036800. Its totient is φ = 401448960.

The previous prime is 1686023039. The next prime is 1686023047. The reversal of 1686023040 is 403206861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1686022989 and 1686023007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686023047) 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, 772671 + ... + 774849.

It is an arithmetic number, because the mean of its divisors is an integer number (23347800).

Almost surely, 2^1686023040 is an apocalyptic number.

1686023040 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 1686023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988518400).

1686023040 is an abundant number, since it is smaller than the sum of its proper divisors (4291013760).

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

1686023040 is a wasteful number, since it uses less digits than its factorization.

1686023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1686023040 is about 41061.2108930070. The cubic root of 1686023040 is about 1190.2033501324.

The spelling of 1686023040 in words is "one billion, six hundred eighty-six million, twenty-three thousand, forty".