8604688890 has 192 divisors, whose sum is σ = 25941254400. Its totient is φ = 1786896384.

The previous prime is 8604688837. The next prime is 8604688891. The reversal of 8604688890 is 988864068.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8604688890.

It is not an unprimeable number, because it can be changed into a prime (8604688891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1757566 + ... + 1762454.

It is an arithmetic number, because the mean of its divisors is an integer number (135110700).

Almost surely, 2^8604688890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8604688890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970627200).

8604688890 is an abundant number, since it is smaller than the sum of its proper divisors (17336565510).

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

8604688890 is a wasteful number, since it uses less digits than its factorization.

8604688890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The square root of 8604688890 is about 92761.4623105953. The cubic root of 8604688890 is about 2049.1718955513.

It can be divided in two parts, 86046 and 88890, that added together give a triangular number (174936 = T₅₉₁).

The spelling of 8604688890 in words is "eight billion, six hundred four million, six hundred eighty-eight thousand, eight hundred ninety".