1680180224 has 44 divisors (see below), whose sum is σ = 3367994604. Its totient is φ = 837771264.

The previous prime is 1680180197. The next prime is 1680180247. The reversal of 1680180224 is 4220810861.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1185562624 + 494617600 = 34432^2 + 22240^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 404462 + ... + 408594.

Almost surely, 2^1680180224 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 1680180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683997302).

1680180224 is an abundant number, since it is smaller than the sum of its proper divisors (1687814380).

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

1680180224 is an equidigital number, since it uses as much as digits as its factorization.

1680180224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1680180224 is about 40990.0015125640. The cubic root of 1680180224 is about 1188.8268984529.

The spelling of 1680180224 in words is "one billion, six hundred eighty million, one hundred eighty thousand, two hundred twenty-four".