10258768 has 80 divisors (see below), whose sum is σ = 23220736. Its totient is φ = 4354560.

The previous prime is 10258747. The next prime is 10258777. The reversal of 10258768 is 86785201.

10258768 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238555 + ... + 238597.

Almost surely, 2^10258768 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 10258768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11610368).

10258768 is an abundant number, since it is smaller than the sum of its proper divisors (12961968).

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

10258768 is a wasteful number, since it uses less digits than its factorization.

10258768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 10258768 is about 3202.9311575493. The cubic root of 10258768 is about 217.2859955197.

It can be divided in two parts, 10258 and 768, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10258768 in words is "ten million, two hundred fifty-eight thousand, seven hundred sixty-eight".