681685200 has 480 divisors, whose sum is σ = 2834104320. Its totient is φ = 152409600.

The previous prime is 681685189. The next prime is 681685241. The reversal of 681685200 is 2586186.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 5367537 + ... + 5367663.

It is an arithmetic number, because the mean of its divisors is an integer number (5904384).

Almost surely, 2^681685200 is an apocalyptic number.

681685200 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 681685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417052160).

681685200 is an abundant number, since it is smaller than the sum of its proper divisors (2152419120).

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

681685200 is a wasteful number, since it uses less digits than its factorization.

681685200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 681685200 is about 26109.1018612284. The cubic root of 681685200 is about 880.0917604040.

The spelling of 681685200 in words is "six hundred eighty-one million, six hundred eighty-five thousand, two hundred".