10427312 has 40 divisors (see below), whose sum is σ = 23275296. Its totient is φ = 4432896.

The previous prime is 10427311. The next prime is 10427317. The reversal of 10427312 is 21372401.

It is not an unprimeable number, because it can be changed into a prime (10427311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17288 + ... + 17880.

Almost surely, 2^10427312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637648).

10427312 is an abundant number, since it is smaller than the sum of its proper divisors (12847984).

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

10427312 is a wasteful number, since it uses less digits than its factorization.

10427312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10427312 is about 3229.1348686606. The cubic root of 10427312 is about 218.4694872972.

Adding to 10427312 its reverse (21372401), we get a palindrome (31799713).

The spelling of 10427312 in words is "ten million, four hundred twenty-seven thousand, three hundred twelve".