684175140 has 288 divisors, whose sum is σ = 2411364480. Its totient is φ = 160807680.

The previous prime is 684175139. The next prime is 684175153. The reversal of 684175140 is 41571486.

It is a happy number.

684175140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 684175095 and 684175104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2417439 + ... + 2417721.

Almost surely, 2^684175140 is an apocalyptic number.

684175140 is a gapful number since it is divisible by the number (60) 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 684175140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205682240).

684175140 is an abundant number, since it is smaller than the sum of its proper divisors (1727189340).

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

684175140 is a wasteful number, since it uses less digits than its factorization.

684175140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 684175140 is about 26156.7417695706. The cubic root of 684175140 is about 881.1620066057.

The spelling of 684175140 in words is "six hundred eighty-four million, one hundred seventy-five thousand, one hundred forty".