1680505567 has 16 divisors (see below), whose sum is σ = 1873605888. Its totient is φ = 1496816640.

The previous prime is 1680505523. The next prime is 1680505579. The reversal of 1680505567 is 7655050861.

It is a cyclic number.

It is not a de Polignac number, because 1680505567 - 2⁷ = 1680505439 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680500567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136353 + ... + 148165.

It is an arithmetic number, because the mean of its divisors is an integer number (117100368).

Almost surely, 2^1680505567 is an apocalyptic number.

1680505567 is a deficient number, since it is larger than the sum of its proper divisors (193100321).

1680505567 is a wasteful number, since it uses less digits than its factorization.

1680505567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12210.

The product of its (nonzero) digits is 252000, while the sum is 43.

The square root of 1680505567 is about 40993.9698858259. The cubic root of 1680505567 is about 1188.9036266400.

The spelling of 1680505567 in words is "one billion, six hundred eighty million, five hundred five thousand, five hundred sixty-seven".