10885632 has 80 divisors (see below), whose sum is σ = 30608160. Its totient is φ = 3428352.

The previous prime is 10885621. The next prime is 10885657. The reversal of 10885632 is 23658801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10885593 and 10885602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28998 + ... + 29370.

It is an arithmetic number, because the mean of its divisors is an integer number (382602).

Almost surely, 2^10885632 is an apocalyptic number.

10885632 is a gapful number since it is divisible by the number (12) 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 10885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304080).

10885632 is an abundant number, since it is smaller than the sum of its proper divisors (19722528).

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

10885632 is an equidigital number, since it uses as much as digits as its factorization.

10885632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 10885632 is about 3299.3381154407. The cubic root of 10885632 is about 221.6245581788.

The spelling of 10885632 in words is "ten million, eight hundred eighty-five thousand, six hundred thirty-two".