8488124800 has 96 divisors (see below), whose sum is σ = 21414834720. Its totient is φ = 3322951680.

The previous prime is 8488124789. The next prime is 8488124819. The reversal of 8488124800 is 84218848.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122182 + ... + 178618.

It is an arithmetic number, because the mean of its divisors is an integer number (223071195).

Almost surely, 2^8488124800 is an apocalyptic number.

8488124800 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 8488124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707417360).

8488124800 is an abundant number, since it is smaller than the sum of its proper divisors (12926709920).

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

8488124800 is a wasteful number, since it uses less digits than its factorization.

8488124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56508 (or 56491 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 43.

The square root of 8488124800 is about 92131.0197490509. The cubic root of 8488124800 is about 2039.8767066329.

The spelling of 8488124800 in words is "eight billion, four hundred eighty-eight million, one hundred twenty-four thousand, eight hundred".