680659200 has 540 divisors, whose sum is σ = 2737134708. Its totient is φ = 165888000.

The previous prime is 680659159. The next prime is 680659201. The reversal of 680659200 is 2956086.

680659200 is a `hidden beast` number, since 68 + 0 + 6 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 679332096 = 1152^2 + 26064^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (680659201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6739150 + ... + 6739250.

Almost surely, 2^680659200 is an apocalyptic number.

680659200 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 680659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368567354).

680659200 is an abundant number, since it is smaller than the sum of its proper divisors (2056475508).

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

680659200 is a wasteful number, since it uses less digits than its factorization.

680659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 680659200 is about 26089.4461420706. The cubic root of 680659200 is about 879.6499985538.

The spelling of 680659200 in words is "six hundred eighty million, six hundred fifty-nine thousand, two hundred".