10248768 has 84 divisors (see below), whose sum is σ = 30510480. Its totient is φ = 3411072.

The previous prime is 10248767. The next prime is 10248827. The reversal of 10248768 is 86784201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10248767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15223 + ... + 15881.

It is an arithmetic number, because the mean of its divisors is an integer number (363220).

Almost surely, 2^10248768 is an apocalyptic number.

10248768 is a gapful number since it is divisible by the number (18) 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 10248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255240).

10248768 is an abundant number, since it is smaller than the sum of its proper divisors (20261712).

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

10248768 is an frugal number, since it uses more digits than its factorization.

10248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10248768 is about 3201.3697068599. The cubic root of 10248768 is about 217.2153708484.

The spelling of 10248768 in words is "ten million, two hundred forty-eight thousand, seven hundred sixty-eight".