10856160 has 192 divisors, whose sum is σ = 43545600. Its totient is φ = 2474496.

The previous prime is 10856159. The next prime is 10856173. The reversal of 10856160 is 6165801.

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

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 31 ways as a sum of consecutive naturals, for example, 30061 + ... + 30419.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^10856160 is an apocalyptic number.

10856160 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 10856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

10856160 is an abundant number, since it is smaller than the sum of its proper divisors (32689440).

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

10856160 is a wasteful number, since it uses less digits than its factorization.

10856160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10856160 is about 3294.8687379014. The cubic root of 10856160 is about 221.4243669981.

The spelling of 10856160 in words is "ten million, eight hundred fifty-six thousand, one hundred sixty".