684156 has 48 divisors (see below), whose sum is σ = 1790208. Its totient is φ = 201600.

The previous prime is 684127. The next prime is 684157. The reversal of 684156 is 651486.

684156 = 61² + 62² + ... + 131².

684156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (5760) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684157) by changing a digit.

684156 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 15 ways as a sum of consecutive naturals, for example, 9336 + ... + 9408.

It is an arithmetic number, because the mean of its divisors is an integer number (37296).

2⁶⁸⁴¹⁵⁶ is an apocalyptic number.

684156 is a gapful number since it is divisible by the number (66) 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 684156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895104).

684156 is an abundant number, since it is smaller than the sum of its proper divisors (1106052).

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

684156 is a wasteful number, since it uses less digits than its factorization.

684156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 684156 is about 827.1372316611. The cubic root of 684156 is about 88.1153789607.

It can be divided in two parts, 68 and 4156, that added together give a palindrome (4224).

The spelling of 684156 in words is "six hundred eighty-four thousand, one hundred fifty-six".