9206710128 has 720 divisors, whose sum is σ = 35847062784. Its totient is φ = 2217093120.

The previous prime is 9206710087. The next prime is 9206710151. The reversal of 9206710128 is 8210176029.

It is a super-2 number, since 2×9206710128² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9206710092 and 9206710101.

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, 137413551 + ... + 137413617.

Almost surely, 2^9206710128 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 9206710128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923531392).

9206710128 is an abundant number, since it is smaller than the sum of its proper divisors (26640352656).

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

9206710128 is a wasteful number, since it uses less digits than its factorization.

9206710128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 9206710128 is about 95951.6030507047. The cubic root of 9206710128 is about 2095.8884123236. Note that the first 3 decimals are identical.

The spelling of 9206710128 in words is "nine billion, two hundred six million, seven hundred ten thousand, one hundred twenty-eight".