8209131840 has 896 divisors, whose sum is σ = 36499921920. Its totient is φ = 1690730496.

The previous prime is 8209131809. The next prime is 8209131857. The reversal of 8209131840 is 481319028.

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 = 8209131795 and 8209131804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41670622 + ... + 41670818.

It is an arithmetic number, because the mean of its divisors is an integer number (40736520).

Almost surely, 2^8209131840 is an apocalyptic number.

8209131840 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 8209131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249960960).

8209131840 is an abundant number, since it is smaller than the sum of its proper divisors (28290790080).

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

8209131840 is a wasteful number, since it uses less digits than its factorization.

8209131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8209131840 is about 90604.2595025201. The cubic root of 8209131840 is about 2017.2779595606.

The spelling of 8209131840 in words is "eight billion, two hundred nine million, one hundred thirty-one thousand, eight hundred forty".