10253768 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 3972672.

The previous prime is 10253767. The next prime is 10253783. The reversal of 10253768 is 86735201.

It is a happy number.

10253768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10253767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24263 + ... + 24681.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^10253768 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 10253768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

10253768 is an abundant number, since it is smaller than the sum of its proper divisors (13938232).

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

10253768 is a wasteful number, since it uses less digits than its factorization.

10253768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 10253768 is about 3202.1505273800. The cubic root of 10253768 is about 217.2506889238.

Adding to 10253768 its reverse (86735201), we get a palindrome (96988969).

The spelling of 10253768 in words is "ten million, two hundred fifty-three thousand, seven hundred sixty-eight".