9901440 has 160 divisors (see below), whose sum is σ = 35544960. Its totient is φ = 2626560.

The previous prime is 9901433. The next prime is 9901457. The reversal of 9901440 is 441099.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51745 + ... + 51935.

It is an arithmetic number, because the mean of its divisors is an integer number (222156).

Almost surely, 2^9901440 is an apocalyptic number.

9901440 is a gapful number since it is divisible by the number (90) 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 9901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772480).

9901440 is an abundant number, since it is smaller than the sum of its proper divisors (25643520).

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

9901440 is a wasteful number, since it uses less digits than its factorization.

9901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9901440 is about 3146.6553672114. The cubic root of 9901440 is about 214.7333272053.

The spelling of 9901440 in words is "nine million, nine hundred one thousand, four hundred forty".