680513520 has 80 divisors (see below), whose sum is σ = 2117578752. Its totient is φ = 180783360.

The previous prime is 680513513. The next prime is 680513521. The reversal of 680513520 is 25315086.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680513521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59809 + ... + 70271.

Almost surely, 2^680513520 is an apocalyptic number.

680513520 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 680513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058789376).

680513520 is an abundant number, since it is smaller than the sum of its proper divisors (1437065232).

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

680513520 is a wasteful number, since it uses less digits than its factorization.

680513520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 680513520 is about 26086.6540591161. The cubic root of 680513520 is about 879.5872375543.

The spelling of 680513520 in words is "six hundred eighty million, five hundred thirteen thousand, five hundred twenty".