684144408 has 64 divisors (see below), whose sum is σ = 1751362560. Its totient is φ = 222607616.

The previous prime is 684144403. The next prime is 684144449. The reversal of 684144408 is 804441486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684144401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695485 + ... + 696467.

It is an arithmetic number, because the mean of its divisors is an integer number (27365040).

Almost surely, 2^684144408 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 684144408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875681280).

684144408 is an abundant number, since it is smaller than the sum of its proper divisors (1067218152).

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

684144408 is a wasteful number, since it uses less digits than its factorization.

684144408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 684144408 is about 26156.1543044844. The cubic root of 684144408 is about 881.1488129682.

The spelling of 684144408 in words is "six hundred eighty-four million, one hundred forty-four thousand, four hundred eight".