682920000 has 420 divisors, whose sum is σ = 2805801856. Its totient is φ = 155520000.

The previous prime is 682919981. The next prime is 682920001. The reversal of 682920000 is 29286.

It is a tau number, because it is divible by the number of its divisors (420).

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 not an unprimeable number, because it can be changed into a prime (682920001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519865 + ... + 2520135.

Almost surely, 2^682920000 is an apocalyptic number.

682920000 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 682920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402900928).

682920000 is an abundant number, since it is smaller than the sum of its proper divisors (2122881856).

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

682920000 is a wasteful number, since it uses less digits than its factorization.

682920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 682920000 is about 26132.7380884591. The cubic root of 682920000 is about 880.6228373076.

Adding to 682920000 its reverse (29286), we get a palindrome (682949286).

The spelling of 682920000 in words is "six hundred eighty-two million, nine hundred twenty thousand".