10656000 has 216 divisors, whose sum is σ = 39379704. Its totient is φ = 2764800.

The previous prime is 10655993. The next prime is 10656001. The reversal of 10656000 is 65601.

10656000 is a `hidden beast` number, since 1 + 0 + 65 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 10653696 = 48^2 + 3264^2 .

It is a super-2 number, since 2×10656000² = 227100672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10656001) 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 23 ways as a sum of consecutive naturals, for example, 287982 + ... + 288018.

Almost surely, 2^10656000 is an apocalyptic number.

10656000 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 10656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19689852).

10656000 is an abundant number, since it is smaller than the sum of its proper divisors (28723704).

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

10656000 is an equidigital number, since it uses as much as digits as its factorization.

10656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10656000 is about 3264.3529220965. The cubic root of 10656000 is about 220.0550826262.

The spelling of 10656000 in words is "ten million, six hundred fifty-six thousand".