681864000 has 112 divisors (see below), whose sum is σ = 2251594176. Its totient is φ = 181824000.

The previous prime is 681863947. The next prime is 681864023. The reversal of 681864000 is 468186.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9795 + ... + 38205.

Almost surely, 2^681864000 is an apocalyptic number.

681864000 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 681864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125797088).

681864000 is an abundant number, since it is smaller than the sum of its proper divisors (1569730176).

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

681864000 is a wasteful number, since it uses less digits than its factorization.

681864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28441 (or 28421 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 681864000 is about 26112.5257300017. The cubic root of 681864000 is about 880.1687004396.

The spelling of 681864000 in words is "six hundred eighty-one million, eight hundred sixty-four thousand".