9906135840 has 192 divisors, whose sum is σ = 35160894720. Its totient is φ = 2604349440.

The previous prime is 9906135749. The next prime is 9906135859. The reversal of 9906135840 is 485316099.

It is a happy number.

9906135840 is a `hidden beast` number, since 9 + 9 + 0 + 61 + 3 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 290572 + ... + 322868.

It is an arithmetic number, because the mean of its divisors is an integer number (183129660).

Almost surely, 2^9906135840 is an apocalyptic number.

9906135840 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 9906135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580447360).

9906135840 is an abundant number, since it is smaller than the sum of its proper divisors (25254758880).

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

9906135840 is a wasteful number, since it uses less digits than its factorization.

9906135840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32392 (or 32378 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9906135840 is about 99529.5726907335. The cubic root of 9906135840 is about 2147.6726819373.

The spelling of 9906135840 in words is "nine billion, nine hundred six million, one hundred thirty-five thousand, eight hundred forty".