9827234040 has 256 divisors, whose sum is σ = 32991235200. Its totient is φ = 2325970944.

The previous prime is 9827233991. The next prime is 9827234041. The reversal of 9827234040 is 404327289.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 9827234040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9827234041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5136124 + ... + 5138036.

Almost surely, 2^9827234040 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 9827234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16495617600).

9827234040 is an abundant number, since it is smaller than the sum of its proper divisors (23164001160).

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

9827234040 is a wasteful number, since it uses less digits than its factorization.

9827234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 9827234040 is about 99132.4066085354. The cubic root of 9827234040 is about 2141.9554461759.

The spelling of 9827234040 in words is "nine billion, eight hundred twenty-seven million, two hundred thirty-four thousand, forty".