10258080 has 192 divisors, whose sum is σ = 38320128. Its totient is φ = 2257920.

The previous prime is 10258067. The next prime is 10258091. The reversal of 10258080 is 8085201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10258080.

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, 144445 + ... + 144515.

It is an arithmetic number, because the mean of its divisors is an integer number (199584).

Almost surely, 2^10258080 is an apocalyptic number.

10258080 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 10258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160064).

10258080 is an abundant number, since it is smaller than the sum of its proper divisors (28062048).

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

10258080 is a wasteful number, since it uses less digits than its factorization.

10258080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 10258080 is about 3202.8237541270. The cubic root of 10258080 is about 217.2811380129.

The spelling of 10258080 in words is "ten million, two hundred fifty-eight thousand, eighty".