10804464 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3093120.

The previous prime is 10804463. The next prime is 10804471. The reversal of 10804464 is 46440801.

10804464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10804463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29917 + ... + 30275.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^10804464 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 10804464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

10804464 is an abundant number, since it is smaller than the sum of its proper divisors (24014736).

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

10804464 is a wasteful number, since it uses less digits than its factorization.

10804464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10804464 is about 3287.0144508353. The cubic root of 10804464 is about 221.0723403838.

The spelling of 10804464 in words is "ten million, eight hundred four thousand, four hundred sixty-four".