1680507936 has 288 divisors, whose sum is σ = 5292967680. Its totient is φ = 503635968.

The previous prime is 1680507931. The next prime is 1680507943. The reversal of 1680507936 is 6397050861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1680507891 and 1680507900.

It is not an unprimeable number, because it can be changed into a prime (1680507931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15417450 + ... + 15417558.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^1680507936 is an apocalyptic number.

1680507936 is a gapful number since it is divisible by the number (16) 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 1680507936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646483840).

1680507936 is an abundant number, since it is smaller than the sum of its proper divisors (3612459744).

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

1680507936 is a wasteful number, since it uses less digits than its factorization.

1680507936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1680507936 is about 40993.9987803093. The cubic root of 1680507936 is about 1188.9041853035.

The spelling of 1680507936 in words is "one billion, six hundred eighty million, five hundred seven thousand, nine hundred thirty-six".