684420 has 96 divisors (see below), whose sum is σ = 2249856. Its totient is φ = 153600.

The previous prime is 684419. The next prime is 684427. The reversal of 684420 is 24486.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684420.

It is not an unprimeable number, because it can be changed into a prime (684427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11190 + ... + 11250.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁶⁸⁴⁴²⁰ is an apocalyptic number.

684420 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 684420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928).

684420 is an abundant number, since it is smaller than the sum of its proper divisors (1565436).

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

684420 is a wasteful number, since it uses less digits than its factorization.

684420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 684420 is about 827.2968028465. The cubic root of 684420 is about 88.1267113998.

The spelling of 684420 in words is "six hundred eighty-four thousand, four hundred twenty".