9824261104 has 160 divisors (see below), whose sum is σ = 23665913856. Its totient is φ = 3854991360.

The previous prime is 9824261093. The next prime is 9824261113. The reversal of 9824261104 is 4011624289.

It is a super-2 number, since 2×9824261104² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27830592 + ... + 27830944.

Almost surely, 2^9824261104 is an apocalyptic number.

9824261104 is a gapful number since it is divisible by the number (94) 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 9824261104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832956928).

9824261104 is an abundant number, since it is smaller than the sum of its proper divisors (13841652752).

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

9824261104 is a wasteful number, since it uses less digits than its factorization.

9824261104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 9824261104 is about 99117.4107006433. The cubic root of 9824261104 is about 2141.7394295199.

The spelling of 9824261104 in words is "nine billion, eight hundred twenty-four million, two hundred sixty-one thousand, one hundred four".