8001888 has 96 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 2442240.

The previous prime is 8001871. The next prime is 8001893. The reversal of 8001888 is 8881008.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74731 + ... + 74837.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^8001888 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 8001888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

8001888 is an abundant number, since it is smaller than the sum of its proper divisors (14859552).

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

8001888 is a wasteful number, since it uses less digits than its factorization.

8001888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 8001888 is about 2828.7608594577. The cubic root of 8001888 is about 200.0157320958.

The spelling of 8001888 in words is "eight million, one thousand, eight hundred eighty-eight".