10018656 has 72 divisors (see below), whose sum is σ = 29189160. Its totient is φ = 3257856.

The previous prime is 10018651. The next prime is 10018667. The reversal of 10018656 is 65681001.

10018656 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 8 + 656 = 666.

10018656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×10018656³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11980 + ... + 12788.

It is an arithmetic number, because the mean of its divisors is an integer number (405405).

Almost surely, 2^10018656 is an apocalyptic number.

10018656 is a gapful number since it is divisible by the number (16) 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 10018656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594580).

10018656 is an abundant number, since it is smaller than the sum of its proper divisors (19170504).

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

10018656 is a wasteful number, since it uses less digits than its factorization.

10018656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

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

The square root of 10018656 is about 3165.2260582777. The cubic root of 10018656 is about 215.5773628855.

Adding to 10018656 its reverse (65681001), we get a palindrome (75699657).

The spelling of 10018656 in words is "ten million, eighteen thousand, six hundred fifty-six".