1680555240 has 384 divisors, whose sum is σ = 6884317440. Its totient is φ = 346042368.

The previous prime is 1680555223. The next prime is 1680555241. The reversal of 1680555240 is 425550861.

1680555240 is a `hidden beast` number, since 1 + 6 + 80 + 55 + 524 + 0 = 666.

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 = 1680555195 and 1680555204.

It is not an unprimeable number, because it can be changed into a prime (1680555241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408084 + ... + 1409276.

It is an arithmetic number, because the mean of its divisors is an integer number (17927910).

Almost surely, 2^1680555240 is an apocalyptic number.

1680555240 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 1680555240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442158720).

1680555240 is an abundant number, since it is smaller than the sum of its proper divisors (5203762200).

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

1680555240 is a wasteful number, since it uses less digits than its factorization.

1680555240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1680555240 is about 40994.5757387487. The cubic root of 1680555240 is about 1188.9153405411.

The spelling of 1680555240 in words is "one billion, six hundred eighty million, five hundred fifty-five thousand, two hundred forty".