685504512 has 576 divisors, whose sum is σ = 2688940800. Its totient is φ = 170311680.

The previous prime is 685504511. The next prime is 685504517. The reversal of 685504512 is 215405586.

685504512 is a `hidden beast` number, since 68 + 550 + 45 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685504511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29804533 + ... + 29804555.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2^685504512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344470400).

685504512 is an abundant number, since it is smaller than the sum of its proper divisors (2003436288).

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

685504512 is a wasteful number, since it uses less digits than its factorization.

685504512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 685504512 is about 26182.1410889178. The cubic root of 685504512 is about 881.7323450885.

The spelling of 685504512 in words is "six hundred eighty-five million, five hundred four thousand, five hundred twelve".