8284125600 has 216 divisors, whose sum is σ = 29438240832. Its totient is φ = 2191987200.

The previous prime is 8284125599. The next prime is 8284125601. The reversal of 8284125600 is 65214828.

8284125600 is a `hidden beast` number, since 8 + 2 + 8 + 41 + 2 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (8284125599) and next prime (8284125601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8284125601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 938809 + ... + 947591.

It is an arithmetic number, because the mean of its divisors is an integer number (136288152).

Almost surely, 2^8284125600 is an apocalyptic number.

8284125600 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 8284125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719120416).

8284125600 is an abundant number, since it is smaller than the sum of its proper divisors (21154115232).

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

8284125600 is a wasteful number, since it uses less digits than its factorization.

8284125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8284125600 is about 91017.1720061660. The cubic root of 8284125600 is about 2023.4022330302.

The spelling of 8284125600 in words is "eight billion, two hundred eighty-four million, one hundred twenty-five thousand, six hundred".