1680047610 has 64 divisors (see below), whose sum is σ = 4281984000. Its totient is φ = 420406272.

The previous prime is 1680047599. The next prime is 1680047617. The reversal of 1680047610 is 167400861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1680047617) 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, 173271 + ... + 182709.

It is an arithmetic number, because the mean of its divisors is an integer number (66906000).

Almost surely, 2^1680047610 is an apocalyptic number.

1680047610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680047610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140992000).

1680047610 is an abundant number, since it is smaller than the sum of its proper divisors (2601936390).

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

1680047610 is a wasteful number, since it uses less digits than its factorization.

1680047610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9815.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1680047610 is about 40988.3838422546. The cubic root of 1680047610 is about 1188.7956202134.

The spelling of 1680047610 in words is "one billion, six hundred eighty million, forty-seven thousand, six hundred ten".