1680735693 has 32 divisors (see below), whose sum is σ = 2832691456. Its totient is φ = 862576128.

The previous prime is 1680735689. The next prime is 1680735697. The reversal of 1680735693 is 3965370861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1680735689) and next prime (1680735697).

It is not a de Polignac number, because 1680735693 - 2² = 1680735689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680735697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73096 + ... + 93297.

It is an arithmetic number, because the mean of its divisors is an integer number (88521608).

Almost surely, 2^1680735693 is an apocalyptic number.

1680735693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1680735693 is a deficient number, since it is larger than the sum of its proper divisors (1151955763).

1680735693 is a wasteful number, since it uses less digits than its factorization.

1680735693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166453.

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 1680735693 is about 40996.7766171927. The cubic root of 1680735693 is about 1188.9578930769.

The spelling of 1680735693 in words is "one billion, six hundred eighty million, seven hundred thirty-five thousand, six hundred ninety-three".