10248320 has 64 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 4021248.

The previous prime is 10248311. The next prime is 10248323. The reversal of 10248320 is 2384201.

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

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 = 10248292 and 10248301.

It is not an unprimeable number, because it can be changed into a prime (10248323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42761 + ... + 42999.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 2^10248320 is an apocalyptic number.

10248320 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 10248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

10248320 is an abundant number, since it is smaller than the sum of its proper divisors (14721280).

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

10248320 is an equidigital number, since it uses as much as digits as its factorization.

10248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10248320 is about 3201.2997360447. The cubic root of 10248320 is about 217.2122057881.

The spelling of 10248320 in words is "ten million, two hundred forty-eight thousand, three hundred twenty".