10884896 has 72 divisors (see below), whose sum is σ = 25065936. Its totient is φ = 4613120.

The previous prime is 10884883. The next prime is 10884917. The reversal of 10884896 is 69848801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

10884896 is a modest number, since divided by 4896 gives 1088 as remainder.

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, 101675 + ... + 101781.

It is an arithmetic number, because the mean of its divisors is an integer number (348138).

Almost surely, 2^10884896 is an apocalyptic number.

10884896 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 10884896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532968).

10884896 is an abundant number, since it is smaller than the sum of its proper divisors (14181040).

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

10884896 is a wasteful number, since it uses less digits than its factorization.

10884896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 10884896 is about 3299.2265760326. The cubic root of 10884896 is about 221.6195632353.

The spelling of 10884896 in words is "ten million, eight hundred eighty-four thousand, eight hundred ninety-six".