8661604224 has 384 divisors, whose sum is σ = 29746137600. Its totient is φ = 2182422528.

The previous prime is 8661604213. The next prime is 8661604229. The reversal of 8661604224 is 4224061668.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8661604229) 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 47 ways as a sum of consecutive naturals, for example, 10447842 + ... + 10448670.

It is an arithmetic number, because the mean of its divisors is an integer number (77463900).

Almost surely, 2^8661604224 is an apocalyptic number.

8661604224 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 8661604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873068800).

8661604224 is an abundant number, since it is smaller than the sum of its proper divisors (21084533376).

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

8661604224 is a wasteful number, since it uses less digits than its factorization.

8661604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 8661604224 is about 93067.7399747087. The cubic root of 8661604224 is about 2053.6800227937.

The spelling of 8661604224 in words is "eight billion, six hundred sixty-one million, six hundred four thousand, two hundred twenty-four".