8601614640 has 320 divisors, whose sum is σ = 32197939200. Its totient is φ = 2102630400.

The previous prime is 8601614603. The next prime is 8601614641. The reversal of 8601614640 is 464161068.

8601614640 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 6 + 1 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8601614595 and 8601614604.

It is not an unprimeable number, because it can be changed into a prime (8601614641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268860 + ... + 1275620.

It is an arithmetic number, because the mean of its divisors is an integer number (100618560).

Almost surely, 2^8601614640 is an apocalyptic number.

8601614640 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 8601614640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098969600).

8601614640 is an abundant number, since it is smaller than the sum of its proper divisors (23596324560).

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

8601614640 is a wasteful number, since it uses less digits than its factorization.

8601614640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8601614640 is about 92744.8901018272. The cubic root of 8601614640 is about 2048.9278264098.

The spelling of 8601614640 in words is "eight billion, six hundred one million, six hundred fourteen thousand, six hundred forty".