680265600 has 384 divisors, whose sum is σ = 2622689280. Its totient is φ = 151756800.

The previous prime is 680265587. The next prime is 680265601. The reversal of 680265600 is 6562086.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×680265600² = 925522573086720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680265601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3561505 + ... + 3561695.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2^680265600 is an apocalyptic number.

680265600 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 680265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311344640).

680265600 is an abundant number, since it is smaller than the sum of its proper divisors (1942423680).

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

680265600 is a wasteful number, since it uses less digits than its factorization.

680265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 680265600 is about 26081.9017711516. The cubic root of 680265600 is about 879.4804095249.

The spelling of 680265600 in words is "six hundred eighty million, two hundred sixty-five thousand, six hundred".