10906880 has 36 divisors (see below), whose sum is σ = 26128452. Its totient is φ = 4362240.

The previous prime is 10906849. The next prime is 10906919. The reversal of 10906880 is 8860901.

It can be written as a sum of positive squares in 2 ways, for example, as 4596736 + 6310144 = 2144^2 + 2512^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2981 + ... + 5540.

Almost surely, 2^10906880 is an apocalyptic number.

10906880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10906880 is an abundant number, since it is smaller than the sum of its proper divisors (15221572).

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

10906880 is an frugal number, since it uses more digits than its factorization.

10906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 10906880 is about 3302.5565854350. The cubic root of 10906880 is about 221.7686630563.

The spelling of 10906880 in words is "ten million, nine hundred six thousand, eight hundred eighty".