681925200 has 240 divisors, whose sum is σ = 2509363200. Its totient is φ = 156556800.

The previous prime is 681925177. The next prime is 681925213. The reversal of 681925200 is 2529186.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249441 + ... + 252159.

It is an arithmetic number, because the mean of its divisors is an integer number (10455680).

Almost surely, 2^681925200 is an apocalyptic number.

681925200 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 681925200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254681600).

681925200 is an abundant number, since it is smaller than the sum of its proper divisors (1827438000).

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

681925200 is a wasteful number, since it uses less digits than its factorization.

681925200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 681925200 is about 26113.6975551146. The cubic root of 681925200 is about 880.1950325297.

The spelling of 681925200 in words is "six hundred eighty-one million, nine hundred twenty-five thousand, two hundred".