1684335680 has 56 divisors (see below), whose sum is σ = 4055958360. Its totient is φ = 666152960.

The previous prime is 1684335661. The next prime is 1684335703. The reversal of 1684335680 is 865334861.

It can be written as a sum of positive squares in 4 ways, for example, as 78570496 + 1605765184 = 8864^2 + 40072^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091 + ... + 58050.

Almost surely, 2^1684335680 is an apocalyptic number.

1684335680 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 1684335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027979180).

1684335680 is an abundant number, since it is smaller than the sum of its proper divisors (2371622680).

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

1684335680 is an equidigital number, since it uses as much as digits as its factorization.

1684335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59247 (or 59237 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 1684335680 is about 41040.6588641069. The cubic root of 1684335680 is about 1189.8061685569.

The spelling of 1684335680 in words is "one billion, six hundred eighty-four million, three hundred thirty-five thousand, six hundred eighty".