8201096640 has 224 divisors, whose sum is σ = 31562161920. Its totient is φ = 1988121600.

The previous prime is 8201096581. The next prime is 8201096647. The reversal of 8201096640 is 466901028.

8201096640 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 0 + 9 + 6 + 640 = 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 = 8201096595 and 8201096604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201096647) 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, 51895 + ... + 138185.

Almost surely, 2^8201096640 is an apocalyptic number.

8201096640 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 8201096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781080960).

8201096640 is an abundant number, since it is smaller than the sum of its proper divisors (23361065280).

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

8201096640 is a wasteful number, since it uses less digits than its factorization.

8201096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86328 (or 86312 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8201096640 is about 90559.9063603756. The cubic root of 8201096640 is about 2016.6195658087.

Adding to 8201096640 its reverse (466901028), we get a palindrome (8667997668).

The spelling of 8201096640 in words is "eight billion, two hundred one million, ninety-six thousand, six hundred forty".