8610225600 has 168 divisors, whose sum is σ = 29012792368. Its totient is φ = 2233958400.

The previous prime is 8610225587. The next prime is 8610225607. The reversal of 8610225600 is 65220168.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8610225607) 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 23 ways as a sum of consecutive naturals, for example, 153360 + ... + 201840.

Almost surely, 2^8610225600 is an apocalyptic number.

8610225600 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 8610225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506396184).

8610225600 is an abundant number, since it is smaller than the sum of its proper divisors (20402566768).

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

8610225600 is a wasteful number, since it uses less digits than its factorization.

8610225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48543 (or 48528 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8610225600 is about 92791.3013164488. The cubic root of 8610225600 is about 2049.6113163552.

Adding to 8610225600 its reverse (65220168), we get a palindrome (8675445768).

The spelling of 8610225600 in words is "eight billion, six hundred ten million, two hundred twenty-five thousand, six hundred".