10632 has 16 divisors (see below), whose sum is σ = 26640. Its totient is φ = 3536.

The previous prime is 10631. The next prime is 10639. The reversal of 10632 is 23601.

It is a super-2 number, since 2×10632² = 226078848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (10631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (1665).

2¹⁰⁶³² is an apocalyptic number.

10632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10632 is an abundant number, since it is smaller than the sum of its proper divisors (16008).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320).

10632 is a wasteful number, since it uses less digits than its factorization.

10632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10632 is about 103.1115900372. Note that the first 3 decimals coincide. The cubic root of 10632 is about 21.9889751923.

The spelling of 10632 in words is "ten thousand, six hundred thirty-two".