10804880 has 40 divisors (see below), whose sum is σ = 25337664. Its totient is φ = 4284800.

The previous prime is 10804861. The next prime is 10804883. The reversal of 10804880 is 8840801.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10804883) 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, 9965 + ... + 10995.

Almost surely, 2^10804880 is an apocalyptic number.

10804880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10804880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668832).

10804880 is an abundant number, since it is smaller than the sum of its proper divisors (14532784).

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

10804880 is a wasteful number, since it uses less digits than its factorization.

10804880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 10804880 is about 3287.0777295342. The cubic root of 10804880 is about 221.0751776343.

The spelling of 10804880 in words is "ten million, eight hundred four thousand, eight hundred eighty".