1680880890 has 128 divisors (see below), whose sum is σ = 4517856000. Its totient is φ = 397393920.

The previous prime is 1680880889. The next prime is 1680880921. The reversal of 1680880890 is 980880861.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3743386 + ... + 3743834.

It is an arithmetic number, because the mean of its divisors is an integer number (35295750).

Almost surely, 2^1680880890 is an apocalyptic number.

1680880890 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 1680880890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258928000).

1680880890 is an abundant number, since it is smaller than the sum of its proper divisors (2836975110).

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

1680880890 is a wasteful number, since it uses less digits than its factorization.

1680880890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 1680880890 is about 40998.5474132926. The cubic root of 1680880890 is about 1188.9921297010.

The spelling of 1680880890 in words is "one billion, six hundred eighty million, eight hundred eighty thousand, eight hundred ninety".