10464320 has 56 divisors (see below), whose sum is σ = 25429464. Its totient is φ = 4100096.

The previous prime is 10464319. The next prime is 10464323. The reversal of 10464320 is 2346401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 173056 + 10291264 = 416^2 + 3208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10464292 and 10464301.

It is not an unprimeable number, because it can be changed into a prime (10464323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16652 + ... + 17268.

Almost surely, 2^10464320 is an apocalyptic number.

10464320 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 10464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714732).

10464320 is an abundant number, since it is smaller than the sum of its proper divisors (14965144).

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

10464320 is an equidigital number, since it uses as much as digits as its factorization.

10464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10464320 is about 3234.8601206235. The cubic root of 10464320 is about 218.7276417965.

The spelling of 10464320 in words is "ten million, four hundred sixty-four thousand, three hundred twenty".