9682632 has 64 divisors (see below), whose sum is σ = 28080000. Its totient is φ = 3085632.

The previous prime is 9682627. The next prime is 9682649. The reversal of 9682632 is 2362869.

It is a super-3 number, since 3×9682632³ (a number of 22 digits) contains 333 as substring.

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 nialpdrome in base 6.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3994 + ... + 5942.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^9682632 is an apocalyptic number.

9682632 is a gapful number since it is divisible by the number (92) 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 9682632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040000).

9682632 is an abundant number, since it is smaller than the sum of its proper divisors (18397368).

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

9682632 is a wasteful number, since it uses less digits than its factorization.

9682632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1977 counting only the distinct ones).

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

The square root of 9682632 is about 3111.6927868927. The cubic root of 9682632 is about 213.1397614782.

It can be divided in two parts, 968 and 2632, that added together give a square (3600 = 60²).

The spelling of 9682632 in words is "nine million, six hundred eighty-two thousand, six hundred thirty-two".