684342 has 64 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 199584.

The previous prime is 684337. The next prime is 684347. The reversal of 684342 is 243486.

684342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (684337) and next prime (684347).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 684342.

It is not an unprimeable number, because it can be changed into a prime (684347) by changing a digit.

684342 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23584 + ... + 23612.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁶⁸⁴³⁴² is an apocalyptic number.

684342 is the 414-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

684342 is an abundant number, since it is smaller than the sum of its proper divisors (1043658).

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

684342 is a wasteful number, since it uses less digits than its factorization.

684342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 76 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 684342 is about 827.2496600181. The cubic root of 684342 is about 88.1233634825.

It can be divided in two parts, 6 and 84342, that added together give a palindrome (84348).

The spelling of 684342 in words is "six hundred eighty-four thousand, three hundred forty-two".