681723000 has 256 divisors, whose sum is σ = 2701670400. Its totient is φ = 155779200.

The previous prime is 681722969. The next prime is 681723041. The reversal of 681723000 is 327186.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 187197 + ... + 190803.

It is an arithmetic number, because the mean of its divisors is an integer number (10553400).

Almost surely, 2^681723000 is an apocalyptic number.

681723000 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 681723000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350835200).

681723000 is an abundant number, since it is smaller than the sum of its proper divisors (2019947400).

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

681723000 is a wasteful number, since it uses less digits than its factorization.

681723000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 681723000 is about 26109.8257366839. The cubic root of 681723000 is about 880.1080273718.

The spelling of 681723000 in words is "six hundred eighty-one million, seven hundred twenty-three thousand".