10048768 has 36 divisors (see below), whose sum is σ = 21247380. Its totient is φ = 4726784.

The previous prime is 10048733. The next prime is 10048781. The reversal of 10048768 is 86784001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 1937664 = 2848^2 + 1392^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3198 + ... + 5506.

It is an arithmetic number, because the mean of its divisors is an integer number (590205).

Almost surely, 2^10048768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623690).

10048768 is an abundant number, since it is smaller than the sum of its proper divisors (11198612).

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

10048768 is an equidigital number, since it uses as much as digits as its factorization.

10048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 10048768 is about 3169.9791797424. The cubic root of 10048768 is about 215.7931261183.

It can be divided in two parts, 10048 and 768, that added together give a square (10816 = 104²).

The spelling of 10048768 in words is "ten million, forty-eight thousand, seven hundred sixty-eight".