681766400 has 180 divisors, whose sum is σ = 1966713408. Its totient is φ = 233533440.

The previous prime is 681766369. The next prime is 681766411. The reversal of 681766400 is 4667186.

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 17 ways as a sum of consecutive naturals, for example, 626657 + ... + 627743.

Almost surely, 2^681766400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983356704).

681766400 is an abundant number, since it is smaller than the sum of its proper divisors (1284947008).

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

681766400 is a wasteful number, since it uses less digits than its factorization.

681766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 681766400 is about 26110.6568281995. The cubic root of 681766400 is about 880.1267035193.

The spelling of 681766400 in words is "six hundred eighty-one million, seven hundred sixty-six thousand, four hundred".