10804580 has 24 divisors (see below), whose sum is σ = 23119992. Its totient is φ = 4239872.

The previous prime is 10804579. The next prime is 10804589. The reversal of 10804580 is 8540801.

10804580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 7873636 = 1712^2 + 2806^2 .

It is not an unprimeable number, because it can be changed into a prime (10804589) 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, 4037 + ... + 6156.

It is an arithmetic number, because the mean of its divisors is an integer number (963333).

Almost surely, 2^10804580 is an apocalyptic number.

10804580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10804580 is an abundant number, since it is smaller than the sum of its proper divisors (12315412).

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

10804580 is a wasteful number, since it uses less digits than its factorization.

10804580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 10804580 is about 3287.0320959796. The cubic root of 10804580 is about 221.0731315475.

It can be divided in two parts, 108045 and 80, that multiplied together give a square (8643600 = 2940²).

The spelling of 10804580 in words is "ten million, eight hundred four thousand, five hundred eighty".