10416120 has 128 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 2327040.

The previous prime is 10416113. The next prime is 10416127. The reversal of 10416120 is 2161401.

It is an interprime number because it is at equal distance from previous prime (10416113) and next prime (10416127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10416120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16857 + ... + 17463.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^10416120 is an apocalyptic number.

10416120 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 10416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

10416120 is an abundant number, since it is smaller than the sum of its proper divisors (26355720).

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

10416120 is a wasteful number, since it uses less digits than its factorization.

10416120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10416120 is about 3227.4014314925. The cubic root of 10416120 is about 218.3912956587.

Adding to 10416120 its reverse (2161401), we get a palindrome (12577521).

The spelling of 10416120 in words is "ten million, four hundred sixteen thousand, one hundred twenty".