9901408 has 48 divisors (see below), whose sum is σ = 22208256. Its totient is φ = 4301440.

The previous prime is 9901403. The next prime is 9901421. The reversal of 9901408 is 8041099.

It is a self number, because there is not a number n which added to its sum of digits gives 9901408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9901403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7485 + ... + 8707.

It is an arithmetic number, because the mean of its divisors is an integer number (462672).

Almost surely, 2^9901408 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 9901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104128).

9901408 is an abundant number, since it is smaller than the sum of its proper divisors (12306848).

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

9901408 is a wasteful number, since it uses less digits than its factorization.

9901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 9901408 is about 3146.6502824432. The cubic root of 9901408 is about 214.7330958762.

The spelling of 9901408 in words is "nine million, nine hundred one thousand, four hundred eight".