10266656 has 12 divisors (see below), whose sum is σ = 20212542. Its totient is φ = 5133312.

The previous prime is 10266629. The next prime is 10266661. The reversal of 10266656 is 65666201.

10266656 = 129² + 130² + ... + 320².

It can be written as a sum of positive squares in only one way, i.e., 7376656 + 2890000 = 2716^2 + 1700^2 .

It is a super-4 number, since 4×10266656⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 320833 = 10266656 / (1 + 0 + 2 + 6 + 6 + 6 + 5 + 6).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160385 + ... + 160448.

Almost surely, 2^10266656 is an apocalyptic number.

10266656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10266656 is a deficient number, since it is larger than the sum of its proper divisors (9945886).

10266656 is an equidigital number, since it uses as much as digits as its factorization.

10266656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320843 (or 320835 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 10266656 is about 3204.1622930183. The cubic root of 10266656 is about 217.3416718879.

The spelling of 10266656 in words is "ten million, two hundred sixty-six thousand, six hundred fifty-six".