10805632 has 64 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 5017600.

The previous prime is 10805617. The next prime is 10805633. The reversal of 10805632 is 23650801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10805597 and 10805606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152157 + ... + 152227.

Almost surely, 2^10805632 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 10805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800).

10805632 is an abundant number, since it is smaller than the sum of its proper divisors (12327968).

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

10805632 is an equidigital number, since it uses as much as digits as its factorization.

10805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10805632 is about 3287.1921148603. The cubic root of 10805632 is about 221.0803063255.

The spelling of 10805632 in words is "ten million, eight hundred five thousand, six hundred thirty-two".