10856640 has 112 divisors (see below), whose sum is σ = 35405568. Its totient is φ = 2817024.

The previous prime is 10856639. The next prime is 10856647. The reversal of 10856640 is 4665801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10856598 and 10856607.

It is not an unprimeable number, because it can be changed into a prime (10856647) 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, 41149 + ... + 41411.

Almost surely, 2^10856640 is an apocalyptic number.

10856640 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 10856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702784).

10856640 is an abundant number, since it is smaller than the sum of its proper divisors (24548928).

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

10856640 is a wasteful number, since it uses less digits than its factorization.

10856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10856640 is about 3294.9415776308. The cubic root of 10856640 is about 221.4276303414.

The spelling of 10856640 in words is "ten million, eight hundred fifty-six thousand, six hundred forty".