8100608292 has 144 divisors (see below), whose sum is σ = 24059153664. Its totient is φ = 2249856000.

The previous prime is 8100608291. The next prime is 8100608297. The reversal of 8100608292 is 2928060018.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8100608291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211992 + ... + 3214512.

It is an arithmetic number, because the mean of its divisors is an integer number (167077456).

Almost surely, 2^8100608292 is an apocalyptic number.

8100608292 is a gapful number since it is divisible by the number (82) 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 8100608292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029576832).

8100608292 is an abundant number, since it is smaller than the sum of its proper divisors (15958545372).

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

8100608292 is a wasteful number, since it uses less digits than its factorization.

8100608292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2885 counting only the distinct ones).

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

The square root of 8100608292 is about 90003.3793365560. The cubic root of 8100608292 is about 2008.3491219150.

The spelling of 8100608292 in words is "eight billion, one hundred million, six hundred eight thousand, two hundred ninety-two".