10414160 has 40 divisors (see below), whose sum is σ = 24347400. Its totient is φ = 4142592.

The previous prime is 10414139. The next prime is 10414163. The reversal of 10414160 is 6141401.

It can be written as a sum of positive squares in 4 ways, for example, as 2096704 + 8317456 = 1448^2 + 2884^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27734 + ... + 28106.

It is an arithmetic number, because the mean of its divisors is an integer number (608685).

Almost surely, 2^10414160 is an apocalyptic number.

10414160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414160 is an abundant number, since it is smaller than the sum of its proper divisors (13933240).

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

10414160 is a wasteful number, since it uses less digits than its factorization.

10414160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10414160 is about 3227.0977673445. The cubic root of 10414160 is about 218.3775965784.

Adding to 10414160 its reverse (6141401), we get a palindrome (16555561).

The spelling of 10414160 in words is "ten million, four hundred fourteen thousand, one hundred sixty".