10084896 has 108 divisors (see below), whose sum is σ = 30579822. Its totient is φ = 3151872.

The previous prime is 10084891. The next prime is 10084897. The reversal of 10084896 is 69848001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8785296 + 1299600 = 2964^2 + 1140^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10084896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103920 + ... + 104016.

Almost surely, 2^10084896 is an apocalyptic number.

10084896 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 10084896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289911).

10084896 is an abundant number, since it is smaller than the sum of its proper divisors (20494926).

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

10084896 is a wasteful number, since it uses less digits than its factorization.

10084896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10084896 is about 3175.6725271980. The cubic root of 10084896 is about 216.0514280836.

The spelling of 10084896 in words is "ten million, eighty-four thousand, eight hundred ninety-six".