10872784 has 30 divisors (see below), whose sum is σ = 22816806. Its totient is φ = 5016960.

The previous prime is 10872773. The next prime is 10872793. The reversal of 10872784 is 48727801.

It can be written as a sum of positive squares in 3 ways, for example, as 760384 + 10112400 = 872^2 + 3180^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 694 + ... + 4714.

Almost surely, 2^10872784 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 10872784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408403).

10872784 is an abundant number, since it is smaller than the sum of its proper divisors (11944022).

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

10872784 is a wasteful number, since it uses less digits than its factorization.

10872784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 37.

The square root of 10872784 is about 3297.3904833974. The cubic root of 10872784 is about 221.5373314777.

It can be divided in two parts, 108727 and 84, that added together give a triangular number (108811 = T₄₆₆).

The spelling of 10872784 in words is "ten million, eight hundred seventy-two thousand, seven hundred eighty-four".