10243632 has 80 divisors (see below), whose sum is σ = 30990080. Its totient is φ = 2854656.

The previous prime is 10243631. The next prime is 10243637. The reversal of 10243632 is 23634201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10243599 and 10243608.

It is not an unprimeable number, because it can be changed into a prime (10243631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14094 + ... + 14802.

It is an arithmetic number, because the mean of its divisors is an integer number (387376).

Almost surely, 2^10243632 is an apocalyptic number.

10243632 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 10243632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495040).

10243632 is an abundant number, since it is smaller than the sum of its proper divisors (20746448).

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

10243632 is a wasteful number, since it uses less digits than its factorization.

10243632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 10243632 is about 3200.5674496876. The cubic root of 10243632 is about 217.1790801594.

Adding to 10243632 its reverse (23634201), we get a palindrome (33877833).

It can be divided in two parts, 1024 and 3632, that added together give a triangular number (4656 = T₉₆).

The spelling of 10243632 in words is "ten million, two hundred forty-three thousand, six hundred thirty-two".