10906560 has 168 divisors, whose sum is σ = 42952416. Its totient is φ = 2488320.

The previous prime is 10906559. The next prime is 10906573. The reversal of 10906560 is 6560901.

10906560 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19890 + ... + 20430.

Almost surely, 2^10906560 is an apocalyptic number.

10906560 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 10906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21476208).

10906560 is an abundant number, since it is smaller than the sum of its proper divisors (32045856).

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

10906560 is a wasteful number, since it uses less digits than its factorization.

10906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10906560 is about 3302.5081377644. The cubic root of 10906560 is about 221.7664941909.

The spelling of 10906560 in words is "ten million, nine hundred six thousand, five hundred sixty".