682668000 has 720 divisors, whose sum is σ = 2982483504. Its totient is φ = 152409600.

The previous prime is 682667983. The next prime is 682668017. The reversal of 682668000 is 866286.

It is an interprime number because it is at equal distance from previous prime (682667983) and next prime (682668017).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15875979 + ... + 15876021.

Almost surely, 2^682668000 is an apocalyptic number.

682668000 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 682668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491241752).

682668000 is an abundant number, since it is smaller than the sum of its proper divisors (2299815504).

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

682668000 is a wasteful number, since it uses less digits than its factorization.

682668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 682668000 is about 26127.9161051929. The cubic root of 682668000 is about 880.5145062895.

The spelling of 682668000 in words is "six hundred eighty-two million, six hundred sixty-eight thousand".