10416160 has 24 divisors (see below), whose sum is σ = 24608556. Its totient is φ = 4166400.

The previous prime is 10416139. The next prime is 10416163. The reversal of 10416160 is 6161401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 150544 = 3204^2 + 388^2 .

It is not an unprimeable number, because it can be changed into a prime (10416163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32391 + ... + 32710.

Almost surely, 2^10416160 is an apocalyptic number.

10416160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10416160 is an abundant number, since it is smaller than the sum of its proper divisors (14192396).

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

10416160 is an equidigital number, since it uses as much as digits as its factorization.

10416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65116 (or 65108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10416160 is about 3227.4076284225. The cubic root of 10416160 is about 218.3915752138.

Adding to 10416160 its reverse (6161401), we get a palindrome (16577561).

It can be divided in two parts, 10 and 416160, that multiplied together give a square (4161600 = 2040²).

The spelling of 10416160 in words is "ten million, four hundred sixteen thousand, one hundred sixty".