9632952 has 128 divisors (see below), whose sum is σ = 32025600. Its totient is φ = 2623104.

The previous prime is 9632947. The next prime is 9632963. The reversal of 9632952 is 2592369.

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

It is a d-powerful number, because it can be written as 9⁵ + 6⁵ + 3¹⁴ + 2⁵ + 9⁷ + 5³ + 2⁵ .

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34638 + ... + 34914.

It is an arithmetic number, because the mean of its divisors is an integer number (250200).

Almost surely, 2^9632952 is an apocalyptic number.

9632952 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 9632952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16012800).

9632952 is an abundant number, since it is smaller than the sum of its proper divisors (22392648).

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

9632952 is a wasteful number, since it uses less digits than its factorization.

9632952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 9632952 is about 3103.6997277443. The cubic root of 9632952 is about 212.7746078395.

The spelling of 9632952 in words is "nine million, six hundred thirty-two thousand, nine hundred fifty-two".