8604685440 has 192 divisors, whose sum is σ = 31998952440. Its totient is φ = 2118057984.

The previous prime is 8604685429. The next prime is 8604685459. The reversal of 8604685440 is 445864068.

8604685440 is a `hidden beast` number, since 8 + 60 + 46 + 8 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4767626304 + 3837059136 = 69048^2 + 61944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8604685440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17424 + ... + 132336.

Almost surely, 2^8604685440 is an apocalyptic number.

8604685440 is a gapful number since it is divisible by the number (80) 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 8604685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999476220).

8604685440 is an abundant number, since it is smaller than the sum of its proper divisors (23394267000).

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

8604685440 is a wasteful number, since it uses less digits than its factorization.

8604685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114951 (or 114936 counting only the distinct ones).

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

The square root of 8604685440 is about 92761.4437145089. The cubic root of 8604685440 is about 2049.1716216834.

The spelling of 8604685440 in words is "eight billion, six hundred four million, six hundred eighty-five thousand, four hundred forty".