1680641600 has 126 divisors (see below), whose sum is σ = 4546077522. Its totient is φ = 611072000.

The previous prime is 1680641597. The next prime is 1680641621. The reversal of 1680641600 is 61460861.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 288456256 + 1392185344 = 16984^2 + 37312^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189260 + ... + 197940.

Almost surely, 2^1680641600 is an apocalyptic number.

1680641600 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 1680641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273038761).

1680641600 is an abundant number, since it is smaller than the sum of its proper divisors (2865435922).

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

1680641600 is a wasteful number, since it uses less digits than its factorization.

1680641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1680641600 is about 40995.6290353008. The cubic root of 1680641600 is about 1188.9357054315.

The spelling of 1680641600 in words is "one billion, six hundred eighty million, six hundred forty-one thousand, six hundred".