8101938960 has 240 divisors, whose sum is σ = 29252770560. Its totient is φ = 2003097600.

The previous prime is 8101938953. The next prime is 8101938973. The reversal of 8101938960 is 698391018.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636660 + ... + 649260.

It is an arithmetic number, because the mean of its divisors is an integer number (121886544).

Almost surely, 2^8101938960 is an apocalyptic number.

8101938960 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 8101938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626385280).

8101938960 is an abundant number, since it is smaller than the sum of its proper divisors (21150831600).

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

8101938960 is a wasteful number, since it uses less digits than its factorization.

8101938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12686 (or 12677 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 8101938960 is about 90010.7713554328. The cubic root of 8101938960 is about 2008.4590848336.

The spelling of 8101938960 in words is "eight billion, one hundred one million, nine hundred thirty-eight thousand, nine hundred sixty".