684352 has 42 divisors (see below), whose sum is σ = 1481582. Its totient is φ = 313344.

The previous prime is 684349. The next prime is 684373. The reversal of 684352 is 253486.

It can be written as a sum of positive squares in 3 ways, for example, as 430336 + 254016 = 656^2 + 504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 684352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18478 + ... + 18514.

2⁶⁸⁴³⁵² 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 684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740791).

684352 is an abundant number, since it is smaller than the sum of its proper divisors (797230).

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

684352 is a wasteful number, since it uses less digits than its factorization.

684352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 684352 is about 827.2557041206. The cubic root of 684352 is about 88.1237927169.

It can be divided in two parts, 68 and 4352, that multiplied together give a square (295936 = 544²).

The spelling of 684352 in words is "six hundred eighty-four thousand, three hundred fifty-two".