682308000 has 288 divisors, whose sum is σ = 2643181632. Its totient is φ = 165312000.

The previous prime is 682307999. The next prime is 682308007. The reversal of 682308000 is 803286.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (682308007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395139 + ... + 396861.

It is an arithmetic number, because the mean of its divisors is an integer number (9177714).

Almost surely, 2^682308000 is an apocalyptic number.

682308000 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 682308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321590816).

682308000 is an abundant number, since it is smaller than the sum of its proper divisors (1960873632).

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

682308000 is a wasteful number, since it uses less digits than its factorization.

682308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 682308000 is about 26121.0260135394. The cubic root of 682308000 is about 880.3597014363.

The spelling of 682308000 in words is "six hundred eighty-two million, three hundred eight thousand".