685224000 has 336 divisors, whose sum is σ = 2538471936. Its totient is φ = 176256000.

The previous prime is 685223899. The next prime is 685224011. The reversal of 685224000 is 422586.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231847 + ... + 2232153.

It is an arithmetic number, because the mean of its divisors is an integer number (7554976).

Almost surely, 2^685224000 is an apocalyptic number.

685224000 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 685224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269235968).

685224000 is an abundant number, since it is smaller than the sum of its proper divisors (1853247936).

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

685224000 is a wasteful number, since it uses less digits than its factorization.

685224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 685224000 is about 26176.7836068528. The cubic root of 685224000 is about 881.6120588643.

Adding to 685224000 its reverse (422586), we get a palindrome (685646586).

The spelling of 685224000 in words is "six hundred eighty-five million, two hundred twenty-four thousand".