1680590736 has 180 divisors, whose sum is σ = 5416997040. Its totient is φ = 482302080.

The previous prime is 1680590711. The next prime is 1680590741. The reversal of 1680590736 is 6370950861.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1680590691 and 1680590700.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570355 + ... + 573293.

It is an arithmetic number, because the mean of its divisors is an integer number (30094428).

Almost surely, 2^1680590736 is an apocalyptic number.

1680590736 is a gapful number since it is divisible by the number (16) 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 1680590736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708498520).

1680590736 is an abundant number, since it is smaller than the sum of its proper divisors (3736406304).

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

1680590736 is a wasteful number, since it uses less digits than its factorization.

1680590736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1680590736 is about 40995.0086717883. The cubic root of 1680590736 is about 1188.9237110765.

It can be divided in two parts, 1680 and 590736, that added together give a triangular number (592416 = T₁₀₈₈).

The spelling of 1680590736 in words is "one billion, six hundred eighty million, five hundred ninety thousand, seven hundred thirty-six".