1680589920 has 48 divisors (see below), whose sum is σ = 5293859760. Its totient is φ = 448157184.

The previous prime is 1680589873. The next prime is 1680589973. The reversal of 1680589920 is 299850861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1680589920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750135 + ... + 1751094.

It is an arithmetic number, because the mean of its divisors is an integer number (110288745).

Almost surely, 2^1680589920 is an apocalyptic number.

1680589920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680589920 is an abundant number, since it is smaller than the sum of its proper divisors (3613269840).

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

1680589920 is a wasteful number, since it uses less digits than its factorization.

1680589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501247 (or 3501239 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 1680589920 is about 40994.9987193560. The cubic root of 1680589920 is about 1188.9235186518.

The spelling of 1680589920 in words is "one billion, six hundred eighty million, five hundred eighty-nine thousand, nine hundred twenty".