8106538944 has 224 divisors, whose sum is σ = 26510284800. Its totient is φ = 2133245952.

The previous prime is 8106538877. The next prime is 8106538949. The reversal of 8106538944 is 4498356018.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8106538893 and 8106538902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8106538949) 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, 1070082 + ... + 1077630.

Almost surely, 2^8106538944 is an apocalyptic number.

8106538944 is a gapful number since it is divisible by the number (84) 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 8106538944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255142400).

8106538944 is an abundant number, since it is smaller than the sum of its proper divisors (18403745856).

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

8106538944 is a wasteful number, since it uses less digits than its factorization.

8106538944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 8106538944 is about 90036.3201380421. The cubic root of 8106538944 is about 2008.8391227378.

The spelling of 8106538944 in words is "eight billion, one hundred six million, five hundred thirty-eight thousand, nine hundred forty-four".