10092896 has 48 divisors (see below), whose sum is σ = 22126608. Its totient is φ = 4492800.

The previous prime is 10092881. The next prime is 10092911. The reversal of 10092896 is 69829001.

It is an interprime number because it is at equal distance from previous prime (10092881) and next prime (10092911).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 18386 + ... + 18926.

It is an arithmetic number, because the mean of its divisors is an integer number (460971).

Almost surely, 2^10092896 is an apocalyptic number.

10092896 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 10092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11063304).

10092896 is an abundant number, since it is smaller than the sum of its proper divisors (12033712).

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

10092896 is a wasteful number, since it uses less digits than its factorization.

10092896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 10092896 is about 3176.9318532194. The cubic root of 10092896 is about 216.1085416984.

The spelling of 10092896 in words is "ten million, ninety-two thousand, eight hundred ninety-six".