10258992 has 60 divisors (see below), whose sum is σ = 28938624. Its totient is φ = 3392640.

The previous prime is 10258987. The next prime is 10259009. The reversal of 10258992 is 29985201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27318 + ... + 27690.

Almost surely, 2^10258992 is an apocalyptic number.

10258992 is a gapful number since it is divisible by the number (12) 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 10258992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469312).

10258992 is an abundant number, since it is smaller than the sum of its proper divisors (18679632).

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

10258992 is a wasteful number, since it uses less digits than its factorization.

10258992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10258992 is about 3202.9661253282. The cubic root of 10258992 is about 217.2875769867.

The spelling of 10258992 in words is "ten million, two hundred fifty-eight thousand, nine hundred ninety-two".