10822032 has 160 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3179520.

The previous prime is 10822027. The next prime is 10822061. The reversal of 10822032 is 23022801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10821996 and 10822014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230233 + ... + 230279.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^10822032 is an apocalyptic number.

10822032 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 10822032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

10822032 is an abundant number, since it is smaller than the sum of its proper divisors (24175728).

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

10822032 is a wasteful number, since it uses less digits than its factorization.

10822032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10822032 is about 3289.6856992728. The cubic root of 10822032 is about 221.1920963095.

Adding to 10822032 its reverse (23022801), we get a palindrome (33844833).

The spelling of 10822032 in words is "ten million, eight hundred twenty-two thousand, thirty-two".