9926610120 has 576 divisors, whose sum is σ = 39290546880. Its totient is φ = 2165087232.

The previous prime is 9926610119. The next prime is 9926610149. The reversal of 9926610120 is 210166299.

9926610120 is a `hidden beast` number, since 9 + 9 + 26 + 610 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43729447 + ... + 43729673.

It is an arithmetic number, because the mean of its divisors is an integer number (68212755).

Almost surely, 2^9926610120 is an apocalyptic number.

9926610120 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 9926610120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645273440).

9926610120 is an abundant number, since it is smaller than the sum of its proper divisors (29363936760).

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

9926610120 is a wasteful number, since it uses less digits than its factorization.

9926610120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9926610120 is about 99632.3748587777. The cubic root of 9926610120 is about 2149.1512871526.

The spelling of 9926610120 in words is "nine billion, nine hundred twenty-six million, six hundred ten thousand, one hundred twenty".