8164812240 has 480 divisors, whose sum is σ = 32107944960. Its totient is φ = 1841356800.

The previous prime is 8164812203. The next prime is 8164812247. The reversal of 8164812240 is 422184618.

8164812240 is a `hidden beast` number, since 8 + 1 + 648 + 1 + 2 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8164812195 and 8164812204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8164812247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5512300 + ... + 5513780.

It is an arithmetic number, because the mean of its divisors is an integer number (66891552).

Almost surely, 2^8164812240 is an apocalyptic number.

8164812240 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 8164812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053972480).

8164812240 is an abundant number, since it is smaller than the sum of its proper divisors (23943132720).

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

8164812240 is a wasteful number, since it uses less digits than its factorization.

8164812240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8164812240 is about 90359.3505952760. The cubic root of 8164812240 is about 2013.6411019742.

Adding to 8164812240 its reverse (422184618), we get a palindrome (8586996858).

The spelling of 8164812240 in words is "eight billion, one hundred sixty-four million, eight hundred twelve thousand, two hundred forty".