682344000 has 504 divisors, whose sum is σ = 2729578488. Its totient is φ = 167961600.

The previous prime is 682343993. The next prime is 682344037. The reversal of 682344000 is 443286.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 574848576 = 10368^2 + 23976^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52487994 + ... + 52488006.

Almost surely, 2^682344000 is an apocalyptic number.

682344000 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 682344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364789244).

682344000 is an abundant number, since it is smaller than the sum of its proper divisors (2047234488).

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

682344000 is an frugal number, since it uses more digits than its factorization.

682344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

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

The square root of 682344000 is about 26121.7151044873. The cubic root of 682344000 is about 880.3751843716.

Adding to 682344000 its reverse (443286), we get a palindrome (682787286).

The spelling of 682344000 in words is "six hundred eighty-two million, three hundred forty-four thousand".