1684109416 has 64 divisors (see below), whose sum is σ = 3507209280. Its totient is φ = 751726080.

The previous prime is 1684109377. The next prime is 1684109429. The reversal of 1684109416 is 6149014861.

It is a super-2 number, since 2×1684109416² = 5672449050119722112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035995 + ... + 2036821.

It is an arithmetic number, because the mean of its divisors is an integer number (54800145).

Almost surely, 2^1684109416 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 1684109416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753604640).

1684109416 is an abundant number, since it is smaller than the sum of its proper divisors (1823099864).

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

1684109416 is a wasteful number, since it uses less digits than its factorization.

1684109416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 1684109416 is about 41037.9021880992. The cubic root of 1684109416 is about 1189.7528889243.

The spelling of 1684109416 in words is "one billion, six hundred eighty-four million, one hundred nine thousand, four hundred sixteen".