9628632 has 112 divisors (see below), whose sum is σ = 29379840. Its totient is φ = 2939328.

The previous prime is 9628607. The next prime is 9628639. The reversal of 9628632 is 2368269.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75753 + ... + 75879.

It is an arithmetic number, because the mean of its divisors is an integer number (262320).

Almost surely, 2^9628632 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 9628632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689920).

9628632 is an abundant number, since it is smaller than the sum of its proper divisors (19751208).

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

9628632 is a wasteful number, since it uses less digits than its factorization.

9628632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 9628632 is about 3103.0037060887. The cubic root of 9628632 is about 212.7427960700.

The spelling of 9628632 in words is "nine million, six hundred twenty-eight thousand, six hundred thirty-two".