10886480 has 80 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3886080.

The previous prime is 10886467. The next prime is 10886483. The reversal of 10886480 is 8468801.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10886480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10886483) 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, 78251 + ... + 78389.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^10886480 is an apocalyptic number.

10886480 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 10886480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

10886480 is an abundant number, since it is smaller than the sum of its proper divisors (17236720).

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

10886480 is a wasteful number, since it uses less digits than its factorization.

10886480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 10886480 is about 3299.4666235621. The cubic root of 10886480 is about 221.6303129433.

The spelling of 10886480 in words is "ten million, eight hundred eighty-six thousand, four hundred eighty".