10090656 has 120 divisors (see below), whose sum is σ = 31559220. Its totient is φ = 3151872.

The previous prime is 10090643. The next prime is 10090667. The reversal of 10090656 is 65609001.

10090656 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 656 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 1587600 = 2916^2 + 1260^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43950 + ... + 44178.

Almost surely, 2^10090656 is an apocalyptic number.

10090656 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 10090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779610).

10090656 is an abundant number, since it is smaller than the sum of its proper divisors (21468564).

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

10090656 is a wasteful number, since it uses less digits than its factorization.

10090656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10090656 is about 3176.5792922576. The cubic root of 10090656 is about 216.0925529293.

Adding to 10090656 its reverse (65609001), we get a palindrome (75699657).

The spelling of 10090656 in words is "ten million, ninety thousand, six hundred fifty-six".