10877984 has 48 divisors (see below), whose sum is σ = 23425920. Its totient is φ = 4942080.

The previous prime is 10877957. The next prime is 10877989. The reversal of 10877984 is 48977801.

It is not an unprimeable number, because it can be changed into a prime (10877989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32699 + ... + 33029.

It is an arithmetic number, because the mean of its divisors is an integer number (488040).

Almost surely, 2^10877984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10877984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712960).

10877984 is an abundant number, since it is smaller than the sum of its proper divisors (12547936).

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

10877984 is a wasteful number, since it uses less digits than its factorization.

10877984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 10877984 is about 3298.1788914490. The cubic root of 10877984 is about 221.5726432102.

The spelling of 10877984 in words is "ten million, eight hundred seventy-seven thousand, nine hundred eighty-four".