10984896 has 140 divisors (see below), whose sum is σ = 35282632. Its totient is φ = 3359232.

The previous prime is 10984891. The next prime is 10984913. The reversal of 10984896 is 69848901.

10984896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10984891) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67311 + ... + 67473.

Almost surely, 2^10984896 is an apocalyptic number.

10984896 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 10984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641316).

10984896 is an abundant number, since it is smaller than the sum of its proper divisors (24297736).

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

10984896 is a wasteful number, since it uses less digits than its factorization.

10984896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 10984896 is about 3314.3469945074. The cubic root of 10984896 is about 222.2961715372.

It can be divided in two parts, 10 and 984896, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 10984896 in words is "ten million, nine hundred eighty-four thousand, eight hundred ninety-six".