1680056690 has 32 divisors (see below), whose sum is σ = 3288370176. Its totient is φ = 614301120.

The previous prime is 1680056621. The next prime is 1680056759. The reversal of 1680056690 is 966500861.

It is an interprime number because it is at equal distance from previous prime (1680056621) and next prime (1680056759).

It is a super-2 number, since 2×1680056690² = 5645180963227512200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49346 + ... + 76125.

It is an arithmetic number, because the mean of its divisors is an integer number (102761568).

Almost surely, 2^1680056690 is an apocalyptic number.

1680056690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1680056690 is a deficient number, since it is larger than the sum of its proper divisors (1608313486).

1680056690 is a wasteful number, since it uses less digits than its factorization.

1680056690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125594.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 1680056690 is about 40988.4946051938. The cubic root of 1680056690 is about 1188.7977618679.

The spelling of 1680056690 in words is "one billion, six hundred eighty million, fifty-six thousand, six hundred ninety".