10804768 has 48 divisors (see below), whose sum is σ = 24131520. Its totient is φ = 4720896.

The previous prime is 10804757. The next prime is 10804769. The reversal of 10804768 is 86740801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10804769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7221 + ... + 8587.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 2^10804768 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 10804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065760).

10804768 is an abundant number, since it is smaller than the sum of its proper divisors (13326752).

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

10804768 is a wasteful number, since it uses less digits than its factorization.

10804768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 10804768 is about 3287.0606930813. The cubic root of 10804768 is about 221.0744137663.

The spelling of 10804768 in words is "ten million, eight hundred four thousand, seven hundred sixty-eight".