10414560 has 96 divisors (see below), whose sum is σ = 35350560. Its totient is φ = 2562048.

The previous prime is 10414549. The next prime is 10414571. The reversal of 10414560 is 6541401.

It is an interprime number because it is at equal distance from previous prime (10414549) and next prime (10414571).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 5406 + ... + 7074.

It is an arithmetic number, because the mean of its divisors is an integer number (368235).

Almost surely, 2^10414560 is an apocalyptic number.

10414560 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 10414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675280).

10414560 is an abundant number, since it is smaller than the sum of its proper divisors (24936000).

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

10414560 is a wasteful number, since it uses less digits than its factorization.

10414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10414560 is about 3227.1597419403. The cubic root of 10414560 is about 218.3803924487.

Adding to 10414560 its reverse (6541401), we get a palindrome (16955961).

The spelling of 10414560 in words is "ten million, four hundred fourteen thousand, five hundred sixty".