8101008 has 60 divisors (see below), whose sum is σ = 22937148. Its totient is φ = 2668800.

The previous prime is 8100979. The next prime is 8101019. The reversal of 8101008 is 8001018.

It is a happy number.

8101008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 3640464 = 2112^2 + 1908^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14266 + ... + 14822.

Almost surely, 2^8101008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8101008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11468574).

8101008 is an abundant number, since it is smaller than the sum of its proper divisors (14836140).

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

8101008 is a wasteful number, since it uses less digits than its factorization.

8101008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8101008 is about 2846.2269761915. The cubic root of 8101008 is about 200.8382154003.

The spelling of 8101008 in words is "eight million, one hundred one thousand, eight".