9786672 has 180 divisors, whose sum is σ = 33997080. Its totient is φ = 2612736.

The previous prime is 9786643. The next prime is 9786697. The reversal of 9786672 is 2766879.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134028 + ... + 134100.

Almost surely, 2^9786672 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 9786672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998540).

9786672 is an abundant number, since it is smaller than the sum of its proper divisors (24210408).

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

9786672 is a wasteful number, since it uses less digits than its factorization.

9786672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 9786672 is about 3128.3657075221. The cubic root of 9786672 is about 213.9004399027.

The spelling of 9786672 in words is "nine million, seven hundred eighty-six thousand, six hundred seventy-two".