9985440 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 2616320.

The previous prime is 9985433. The next prime is 9985447. The reversal of 9985440 is 445899.

It is an interprime number because it is at equal distance from previous prime (9985433) and next prime (9985447).

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9985447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33934 + ... + 34226.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 2^9985440 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 9985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

9985440 is an abundant number, since it is smaller than the sum of its proper divisors (22020576).

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

9985440 is a wasteful number, since it uses less digits than its factorization.

9985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 9985440 is about 3159.9746834429. The cubic root of 9985440 is about 215.3388563178.

The spelling of 9985440 in words is "nine million, nine hundred eighty-five thousand, four hundred forty".