8621461584 has 240 divisors, whose sum is σ = 26941281600. Its totient is φ = 2632331520.

The previous prime is 8621461571. The next prime is 8621461609. The reversal of 8621461584 is 4851641268.

It is a happy number.

8621461584 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 4 + 61 + 584 = 666.

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, 7887342 + ... + 7888434.

It is an arithmetic number, because the mean of its divisors is an integer number (112255340).

Almost surely, 2^8621461584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8621461584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13470640800).

8621461584 is an abundant number, since it is smaller than the sum of its proper divisors (18319820016).

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

8621461584 is a wasteful number, since it uses less digits than its factorization.

8621461584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1148 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 8621461584 is about 92851.8259594285. The cubic root of 8621461584 is about 2050.5024811482.

The spelling of 8621461584 in words is "eight billion, six hundred twenty-one million, four hundred sixty-one thousand, five hundred eighty-four".