1680217344 has 360 divisors, whose sum is σ = 5650858752. Its totient is φ = 492687360.

The previous prime is 1680217313. The next prime is 1680217379. The reversal of 1680217344 is 4437120861.

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

It is a junction number, because it is equal to n+sod(n) for n = 1680217299 and 1680217308.

It is a congruent number.

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, 6199929 + ... + 6200199.

Almost surely, 2^1680217344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825429376).

1680217344 is an abundant number, since it is smaller than the sum of its proper divisors (3970641408).

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

1680217344 is a wasteful number, since it uses less digits than its factorization.

1680217344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1680217344 is about 40990.4543034107. The cubic root of 1680217344 is about 1188.8356532537.

It can be divided in two parts, 1680 and 217344, that added together give a square (219024 = 468²).

The spelling of 1680217344 in words is "one billion, six hundred eighty million, two hundred seventeen thousand, three hundred forty-four".