1680582870 has 64 divisors (see below), whose sum is σ = 4717440000. Its totient is φ = 424567008.

The previous prime is 1680582853. The next prime is 1680582877. The reversal of 1680582870 is 782850861.

1680582870 is a `hidden beast` number, since 1 + 68 + 0 + 582 + 8 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680582877) 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, 158670 + ... + 168929.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000).

Almost surely, 2^1680582870 is an apocalyptic number.

1680582870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1680582870 is an abundant number, since it is smaller than the sum of its proper divisors (3036857130).

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

1680582870 is a wasteful number, since it uses less digits than its factorization.

1680582870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327634 (or 327628 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1680582870 is about 40994.9127331673. The cubic root of 1680582870 is about 1188.9218561557.

The spelling of 1680582870 in words is "one billion, six hundred eighty million, five hundred eighty-two thousand, eight hundred seventy".