680146200 has 384 divisors, whose sum is σ = 2571264000. Its totient is φ = 164505600.

The previous prime is 680146163. The next prime is 680146237. The reversal of 680146200 is 2641086.

It is an interprime number because it is at equal distance from previous prime (680146163) and next prime (680146237).

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 95 ways as a sum of consecutive naturals, for example, 2845681 + ... + 2845919.

It is an arithmetic number, because the mean of its divisors is an integer number (6696000).

Almost surely, 2^680146200 is an apocalyptic number.

680146200 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 680146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632000).

680146200 is an abundant number, since it is smaller than the sum of its proper divisors (1891117800).

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

680146200 is a wasteful number, since it uses less digits than its factorization.

680146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 680146200 is about 26079.6127271860. The cubic root of 680146200 is about 879.4289511410.

Adding to 680146200 its reverse (2641086), we get a palindrome (682787286).

The spelling of 680146200 in words is "six hundred eighty million, one hundred forty-six thousand, two hundred".