10630656 has 80 divisors (see below), whose sum is σ = 31508400. Its totient is φ = 3538944.

The previous prime is 10630651. The next prime is 10630667. The reversal of 10630656 is 65603601.

10630656 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 656 = 666.

It is a super-2 number, since 2×10630656² = 226021693980672, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10630651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13440 + ... + 14208.

It is an arithmetic number, because the mean of its divisors is an integer number (393855).

Almost surely, 2^10630656 is an apocalyptic number.

10630656 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 10630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754200).

10630656 is an abundant number, since it is smaller than the sum of its proper divisors (20877744).

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

10630656 is an frugal number, since it uses more digits than its factorization.

10630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10630656 is about 3260.4686779664. The cubic root of 10630656 is about 219.8804860506.

The spelling of 10630656 in words is "ten million, six hundred thirty thousand, six hundred fifty-six".