8661627324 has 96 divisors (see below), whose sum is σ = 25752330240. Its totient is φ = 2466241344.

The previous prime is 8661627281. The next prime is 8661627329. The reversal of 8661627324 is 4237261668.

8661627324 is a `hidden beast` number, since 8 + 6 + 616 + 2 + 7 + 3 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8661627324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8661627329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201957 + ... + 241059.

It is an arithmetic number, because the mean of its divisors is an integer number (268253440).

Almost surely, 2^8661627324 is an apocalyptic number.

8661627324 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 8661627324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876165120).

8661627324 is an abundant number, since it is smaller than the sum of its proper divisors (17090702916).

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

8661627324 is a wasteful number, since it uses less digits than its factorization.

8661627324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39416 (or 39408 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 8661627324 is about 93067.8640777793. The cubic root of 8661627324 is about 2053.6818484742.

The spelling of 8661627324 in words is "eight billion, six hundred sixty-one million, six hundred twenty-seven thousand, three hundred twenty-four".