8106009600 has 528 divisors, whose sum is σ = 30191317632. Its totient is φ = 1903165440.

The previous prime is 8106009599. The next prime is 8106009607. The reversal of 8106009600 is 69006018.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8106009607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22963024 + ... + 22963376.

Almost surely, 2^8106009600 is an apocalyptic number.

8106009600 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 8106009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095658816).

8106009600 is an abundant number, since it is smaller than the sum of its proper divisors (22085308032).

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

8106009600 is a wasteful number, since it uses less digits than its factorization.

8106009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 8106009600 is about 90033.3804763544. The cubic root of 8106009600 is about 2008.7953971277.

The spelling of 8106009600 in words is "eight billion, one hundred six million, nine thousand, six hundred".