685580544 has 288 divisors, whose sum is σ = 2260500480. Its totient is φ = 203212800.

The previous prime is 685580543. The next prime is 685580551. The reversal of 685580544 is 445085586.

685580544 is a `hidden beast` number, since 68 + 5 + 580 + 5 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×685580544² = 940041364622671872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 685580544.

It is not an unprimeable number, because it can be changed into a prime (685580543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5398209 + ... + 5398335.

It is an arithmetic number, because the mean of its divisors is an integer number (7848960).

Almost surely, 2^685580544 is an apocalyptic number.

685580544 is a gapful number since it is divisible by the number (64) 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 685580544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130250240).

685580544 is an abundant number, since it is smaller than the sum of its proper divisors (1574919936).

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

685580544 is a wasteful number, since it uses less digits than its factorization.

685580544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 685580544 is about 26183.5930307511. The cubic root of 685580544 is about 881.7649426835.

The spelling of 685580544 in words is "six hundred eighty-five million, five hundred eighty thousand, five hundred forty-four".