10417264 has 80 divisors (see below), whose sum is σ = 24685920. Its totient is φ = 4193280.

The previous prime is 10417261. The next prime is 10417279. The reversal of 10417264 is 46271401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10417261) 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 15 ways as a sum of consecutive naturals, for example, 66274 + ... + 66430.

It is an arithmetic number, because the mean of its divisors is an integer number (308574).

Almost surely, 2^10417264 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 10417264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960).

10417264 is an abundant number, since it is smaller than the sum of its proper divisors (14268656).

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

10417264 is a wasteful number, since it uses less digits than its factorization.

10417264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10417264 is about 3227.5786589950. The cubic root of 10417264 is about 218.3992906541.

Adding to 10417264 its reverse (46271401), we get a palindrome (56688665).

The spelling of 10417264 in words is "ten million, four hundred seventeen thousand, two hundred sixty-four".