683136000 has 264 divisors, whose sum is σ = 2465881704. Its totient is φ = 181862400.

The previous prime is 683135993. The next prime is 683136001. The reversal of 683136000 is 631386.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 666878976 = 4032^2 + 25824^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683136001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151704 + ... + 1152296.

It is an arithmetic number, because the mean of its divisors is an integer number (9340461).

Almost surely, 2^683136000 is an apocalyptic number.

683136000 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 683136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232940852).

683136000 is an abundant number, since it is smaller than the sum of its proper divisors (1782745704).

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

683136000 is a wasteful number, since it uses less digits than its factorization.

683136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 603 counting only the distinct ones).

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

The square root of 683136000 is about 26136.8705089190. The cubic root of 683136000 is about 880.7156712569.

Adding to 683136000 its reverse (631386), we get a palindrome (683767386).

The spelling of 683136000 in words is "six hundred eighty-three million, one hundred thirty-six thousand".