8608904800 has 144 divisors (see below), whose sum is σ = 21370632192. Its totient is φ = 3386073600.

The previous prime is 8608904791. The next prime is 8608904809. The reversal of 8608904800 is 84098068.

It is an interprime number because it is at equal distance from previous prime (8608904791) and next prime (8608904809).

It is a super-2 number, since 2×8608904800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8608904809) 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 23 ways as a sum of consecutive naturals, for example, 15738127 + ... + 15738673.

It is an arithmetic number, because the mean of its divisors is an integer number (148407168).

Almost surely, 2^8608904800 is an apocalyptic number.

8608904800 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 8608904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10685316096).

8608904800 is an abundant number, since it is smaller than the sum of its proper divisors (12761727392).

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

8608904800 is a wasteful number, since it uses less digits than its factorization.

8608904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 8608904800 is about 92784.1839970585. The cubic root of 8608904800 is about 2049.5065082201.

The spelling of 8608904800 in words is "eight billion, six hundred eight million, nine hundred four thousand, eight hundred".