8287124160 has 224 divisors, whose sum is σ = 30226406400. Its totient is φ = 1884377088.

The previous prime is 8287124159. The next prime is 8287124161. The reversal of 8287124160 is 614217828.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8287124159) and next prime (8287124161).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (8287124161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334182 + ... + 1340378.

Almost surely, 2^8287124160 is an apocalyptic number.

8287124160 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 8287124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113203200).

8287124160 is an abundant number, since it is smaller than the sum of its proper divisors (21939282240).

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

8287124160 is a wasteful number, since it uses less digits than its factorization.

8287124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 8287124160 is about 91033.6430118009. The cubic root of 8287124160 is about 2023.6463368899.

The spelling of 8287124160 in words is "eight billion, two hundred eighty-seven million, one hundred twenty-four thousand, one hundred sixty".