683136 has 48 divisors (see below), whose sum is σ = 1969110. Its totient is φ = 227328.

The previous prime is 683129. The next prime is 683143. The reversal of 683136 is 631386.

It is an interprime number because it is at equal distance from previous prime (683129) and next prime (683143).

It can be written as a sum of positive squares in only one way, i.e., 553536 + 129600 = 744^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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 683136.

It is an unprimeable number.

683136 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 856 + ... + 1448.

2⁶⁸³¹³⁶ 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 683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984555).

683136 is an abundant number, since it is smaller than the sum of its proper divisors (1285974).

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

683136 is a wasteful number, since it uses less digits than its factorization.

683136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 683136 is about 826.5204171707. The cubic root of 683136 is about 88.0715671257.

The spelling of 683136 in words is "six hundred eighty-three thousand, one hundred thirty-six".