10806480 has 80 divisors (see below), whose sum is σ = 37229760. Its totient is φ = 2881152.

The previous prime is 10806461. The next prime is 10806487. The reversal of 10806480 is 8460801.

10806480 is a `hidden beast` number, since 10 + 8 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10806487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (465372).

Almost surely, 2^10806480 is an apocalyptic number.

10806480 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 10806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614880).

10806480 is an abundant number, since it is smaller than the sum of its proper divisors (26423280).

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

10806480 is a wasteful number, since it uses less digits than its factorization.

10806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10806480 is about 3287.3210977938. The cubic root of 10806480 is about 221.0860894577.

The spelling of 10806480 in words is "ten million, eight hundred six thousand, four hundred eighty".