10447632 has 60 divisors (see below), whose sum is σ = 31493644. Its totient is φ = 3214080.

The previous prime is 10447631. The next prime is 10447637. The reversal of 10447632 is 23674401.

10447632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 8088336 = 1536^2 + 2844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10447596 and 10447605.

It is not an unprimeable number, because it can be changed into a prime (10447631) 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, 919 + ... + 4662.

Almost surely, 2^10447632 is an apocalyptic number.

10447632 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 10447632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746822).

10447632 is an abundant number, since it is smaller than the sum of its proper divisors (21046012).

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

10447632 is a wasteful number, since it uses less digits than its factorization.

10447632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10447632 is about 3232.2796908684. The cubic root of 10447632 is about 218.6113077854.

The spelling of 10447632 in words is "ten million, four hundred forty-seven thousand, six hundred thirty-two".