10258496 has 28 divisors (see below), whose sum is σ = 20596860. Its totient is φ = 5068800.

The previous prime is 10258459. The next prime is 10258511. The reversal of 10258496 is 69485201.

It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 8620096 = 1280^2 + 2936^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4796 + ... + 6596.

Almost surely, 2^10258496 is an apocalyptic number.

10258496 is a gapful number since it is divisible by the number (16) 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 10258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298430).

10258496 is an abundant number, since it is smaller than the sum of its proper divisors (10338364).

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

10258496 is an equidigital number, since it uses as much as digits as its factorization.

10258496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 10258496 is about 3202.8886961616. Note that the first 3 decimals coincide. The cubic root of 10258496 is about 217.2840751360.

The spelling of 10258496 in words is "ten million, two hundred fifty-eight thousand, four hundred ninety-six".