10417260 has 96 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 2239488.

The previous prime is 10417259. The next prime is 10417261. The reversal of 10417260 is 6271401.

It is an interprime number because it is at equal distance from previous prime (10417259) and next prime (10417261).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10417261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6411 + ... + 7869.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 2^10417260 is an apocalyptic number.

10417260 is a gapful number since it is divisible by the number (10) 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 10417260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

10417260 is an abundant number, since it is smaller than the sum of its proper divisors (24903060).

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

10417260 is a wasteful number, since it uses less digits than its factorization.

10417260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10417260 is about 3227.5780393354. The cubic root of 10417260 is about 218.3992627006.

Adding to 10417260 its reverse (6271401), we get a palindrome (16688661).

The spelling of 10417260 in words is "ten million, four hundred seventeen thousand, two hundred sixty".