10427296 has 36 divisors (see below), whose sum is σ = 22573026. Its totient is φ = 4737920.

The previous prime is 10427281. The next prime is 10427297. The reversal of 10427296 is 69272401.

10427296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 1210000 = 3036^2 + 1100^2 .

It is not an unprimeable number, because it can be changed into a prime (10427297) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2526 + ... + 5218.

Almost surely, 2^10427296 is an apocalyptic number.

10427296 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 10427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286513).

10427296 is an abundant number, since it is smaller than the sum of its proper divisors (12145730).

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

10427296 is a wasteful number, since it uses less digits than its factorization.

10427296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 10427296 is about 3229.1323912159. The cubic root of 10427296 is about 218.4693755549.

Adding to 10427296 its reverse (69272401), we get a palindrome (79699697).

It can be divided in two parts, 1042 and 7296, that added together give a palindrome (8338).

The spelling of 10427296 in words is "ten million, four hundred twenty-seven thousand, two hundred ninety-six".