10952032 has 48 divisors (see below), whose sum is σ = 26544672. Its totient is φ = 4331520.

The previous prime is 10952009. The next prime is 10952059. The reversal of 10952032 is 23025901.

It is a junction number, because it is equal to n+sod(n) for n = 10951994 and 10952012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032 + ... + 4792.

It is an arithmetic number, because the mean of its divisors is an integer number (553014).

Almost surely, 2^10952032 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 10952032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272336).

10952032 is an abundant number, since it is smaller than the sum of its proper divisors (15592640).

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

10952032 is a wasteful number, since it uses less digits than its factorization.

10952032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 10952032 is about 3309.3854414377. The cubic root of 10952032 is about 222.0742656599.

Adding to 10952032 its reverse (23025901), we get a palindrome (33977933).

The spelling of 10952032 in words is "ten million, nine hundred fifty-two thousand, thirty-two".