9652032 has 84 divisors (see below), whose sum is σ = 29817060. Its totient is φ = 2967552.

The previous prime is 9652007. The next prime is 9652033. The reversal of 9652032 is 2302569.

9652032 is a `hidden beast` number, since 9 + 652 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 5089536 = 2136^2 + 2256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9651987 and 9652005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9652033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6844 + ... + 8132.

It is an arithmetic number, because the mean of its divisors is an integer number (354965).

Almost surely, 2^9652032 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 9652032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908530).

9652032 is an abundant number, since it is smaller than the sum of its proper divisors (20165028).

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

9652032 is a wasteful number, since it uses less digits than its factorization.

9652032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 9652032 is about 3106.7719581585. The cubic root of 9652032 is about 212.9149961679.

The spelling of 9652032 in words is "nine million, six hundred fifty-two thousand, thirty-two".