1680337890 has 432 divisors, whose sum is σ = 5790185856. Its totient is φ = 336631680.

The previous prime is 1680337853. The next prime is 1680337927. The reversal of 1680337890 is 987330861.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1680337853) and next prime (1680337927).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25079637 + ... + 25079703.

It is an arithmetic number, because the mean of its divisors is an integer number (13403208).

Almost surely, 2^1680337890 is an apocalyptic number.

1680337890 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 1680337890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895092928).

1680337890 is an abundant number, since it is smaller than the sum of its proper divisors (4109847966).

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

1680337890 is a wasteful number, since it uses less digits than its factorization.

1680337890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1680337890 is about 40991.9246925538. The cubic root of 1680337890 is about 1188.8640832970.

The spelling of 1680337890 in words is "one billion, six hundred eighty million, three hundred thirty-seven thousand, eight hundred ninety".