1684464144 has 80 divisors (see below), whose sum is σ = 4772265984. Its totient is φ = 507740800.

The previous prime is 1684464121. The next prime is 1684464157. The reversal of 1684464144 is 4414644861.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1684464096 and 1684464105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92497 + ... + 109199.

Almost surely, 2^1684464144 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 1684464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386132992).

1684464144 is an abundant number, since it is smaller than the sum of its proper divisors (3087801840).

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

1684464144 is a wasteful number, since it uses less digits than its factorization.

1684464144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16910 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 1684464144 is about 41042.2239163523. The cubic root of 1684464144 is about 1189.8364165602.

The spelling of 1684464144 in words is "one billion, six hundred eighty-four million, four hundred sixty-four thousand, one hundred forty-four".