8685460224 has 360 divisors, whose sum is σ = 30183420960. Its totient is φ = 2432581632.

The previous prime is 8685460207. The next prime is 8685460283. The reversal of 8685460224 is 4220645868.

8685460224 is a `hidden beast` number, since 86 + 8 + 546 + 0 + 2 + 24 = 666.

It is a super-2 number, since 2×8685460224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8685460224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7692492 + ... + 7693620.

It is an arithmetic number, because the mean of its divisors is an integer number (83842836).

Almost surely, 2^8685460224 is an apocalyptic number.

8685460224 is a gapful number since it is divisible by the number (84) 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 8685460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091710480).

8685460224 is an abundant number, since it is smaller than the sum of its proper divisors (21497960736).

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

8685460224 is a wasteful number, since it uses less digits than its factorization.

8685460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8685460224 is about 93195.8165584700. The cubic root of 8685460224 is about 2055.5637262123.

The spelling of 8685460224 in words is "eight billion, six hundred eighty-five million, four hundred sixty thousand, two hundred twenty-four".