682992000 has 640 divisors, whose sum is σ = 2772506880. Its totient is φ = 165888000.

The previous prime is 682991999. The next prime is 682992007. The reversal of 682992000 is 299286.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682992007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22031985 + ... + 22032015.

It is an arithmetic number, because the mean of its divisors is an integer number (4332042).

Almost surely, 2^682992000 is an apocalyptic number.

682992000 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 682992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386253440).

682992000 is an abundant number, since it is smaller than the sum of its proper divisors (2089514880).

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

682992000 is a wasteful number, since it uses less digits than its factorization.

682992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 682992000 is about 26134.1156345494. The cubic root of 682992000 is about 880.6537841321.

The spelling of 682992000 in words is "six hundred eighty-two million, nine hundred ninety-two thousand".