10827904 has 32 divisors (see below), whose sum is σ = 22322700. Its totient is φ = 5225472.

The previous prime is 10827899. The next prime is 10827913. The reversal of 10827904 is 40972801.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 1537600 = 3048^2 + 1240^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2254 + ... + 5170.

Almost surely, 2^10827904 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 10827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11161350).

10827904 is an abundant number, since it is smaller than the sum of its proper divisors (11494796).

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

10827904 is an equidigital number, since it uses as much as digits as its factorization.

10827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 10827904 is about 3290.5780647175. The cubic root of 10827904 is about 221.2320951176.

The spelling of 10827904 in words is "ten million, eight hundred twenty-seven thousand, nine hundred four".