1680993000 has 160 divisors (see below), whose sum is σ = 5876287560. Its totient is φ = 448243200.

The previous prime is 1680992987. The next prime is 1680993029. The reversal of 1680993000 is 3990861.

It can be written as a sum of positive squares in 4 ways, for example, as 349764804 + 1331228196 = 18702^2 + 36486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70624 + ... + 91376.

Almost surely, 2^1680993000 is an apocalyptic number.

1680993000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680993000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938143780).

1680993000 is an abundant number, since it is smaller than the sum of its proper divisors (4195294560).

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

1680993000 is a wasteful number, since it uses less digits than its factorization.

1680993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20786 (or 20763 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1680993000 is about 40999.9146340575. The cubic root of 1680993000 is about 1189.0185632504.

The spelling of 1680993000 in words is "one billion, six hundred eighty million, nine hundred ninety-three thousand".