10320640 has 72 divisors (see below), whose sum is σ = 27005328. Its totient is φ = 3747840.

The previous prime is 10320623. The next prime is 10320641. The reversal of 10320640 is 4602301.

It is a super-2 number, since 2×10320640² = 213031220019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10320641) 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, 13714 + ... + 14446.

It is an arithmetic number, because the mean of its divisors is an integer number (375074).

Almost surely, 2^10320640 is an apocalyptic number.

10320640 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 10320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502664).

10320640 is an abundant number, since it is smaller than the sum of its proper divisors (16684688).

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

10320640 is an equidigital number, since it uses as much as digits as its factorization.

10320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10320640 is about 3212.5752909465. The cubic root of 10320640 is about 217.7219472166.

Adding to 10320640 its reverse (4602301), we get a palindrome (14922941).

The spelling of 10320640 in words is "ten million, three hundred twenty thousand, six hundred forty".