10258820 has 96 divisors (see below), whose sum is σ = 26925696. Its totient is φ = 3225600.

The previous prime is 10258819. The next prime is 10258849. The reversal of 10258820 is 2885201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10258820.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48515 + ... + 48725.

It is an arithmetic number, because the mean of its divisors is an integer number (280476).

Almost surely, 2^10258820 is an apocalyptic number.

10258820 is a gapful number since it is divisible by the number (10) 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 10258820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462848).

10258820 is an abundant number, since it is smaller than the sum of its proper divisors (16666876).

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

10258820 is a wasteful number, since it uses less digits than its factorization.

10258820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 10258820 is about 3202.9392751034. The cubic root of 10258820 is about 217.2863626480.

The spelling of 10258820 in words is "ten million, two hundred fifty-eight thousand, eight hundred twenty".