10632320 has 64 divisors (see below), whose sum is σ = 26163000. Its totient is φ = 4128768.

The previous prime is 10632317. The next prime is 10632329. The reversal of 10632320 is 2323601.

It can be written as a sum of positive squares in 4 ways, for example, as 10291264 + 341056 = 3208^2 + 584^2 .

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

It is a super-2 number, since 2×10632320² = 226092457164800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10632329) 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, 23456 + ... + 23904.

Almost surely, 2^10632320 is an apocalyptic number.

10632320 is a gapful number since it is divisible by the number (10) 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 10632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081500).

10632320 is an abundant number, since it is smaller than the sum of its proper divisors (15530680).

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

10632320 is an equidigital number, since it uses as much as digits as its factorization.

10632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 10632320 is about 3260.7238460195. The cubic root of 10632320 is about 219.8919579685.

Adding to 10632320 its reverse (2323601), we get a palindrome (12955921).

The spelling of 10632320 in words is "ten million, six hundred thirty-two thousand, three hundred twenty".