9901008 has 160 divisors (see below), whose sum is σ = 32081280. Its totient is φ = 2903040.

The previous prime is 9901007. The next prime is 9901009. The reversal of 9901008 is 8001099.

It is an interprime number because it is at equal distance from previous prime (9901007) and next prime (9901009).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230235 + ... + 230277.

It is an arithmetic number, because the mean of its divisors is an integer number (200508).

Almost surely, 2^9901008 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 9901008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040640).

9901008 is an abundant number, since it is smaller than the sum of its proper divisors (22180272).

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

9901008 is a wasteful number, since it uses less digits than its factorization.

9901008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 9901008 is about 3146.5867221483. The cubic root of 9901008 is about 214.7302042202.

The spelling of 9901008 in words is "nine million, nine hundred one thousand, eight".