681094800 has 360 divisors, whose sum is σ = 2590548480. Its totient is φ = 164966400.

The previous prime is 681094793. The next prime is 681094811. The reversal of 681094800 is 8490186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897021 + ... + 1897379.

It is an arithmetic number, because the mean of its divisors is an integer number (7195968).

Almost surely, 2^681094800 is an apocalyptic number.

681094800 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 681094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295274240).

681094800 is an abundant number, since it is smaller than the sum of its proper divisors (1909453680).

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

681094800 is a wasteful number, since it uses less digits than its factorization.

681094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 681094800 is about 26097.7930101378. The cubic root of 681094800 is about 879.8376077756.

The spelling of 681094800 in words is "six hundred eighty-one million, ninety-four thousand, eight hundred".