10416000 has 256 divisors, whose sum is σ = 40734720. Its totient is φ = 2304000.

The previous prime is 10415989. The next prime is 10416013. The reversal of 10416000 is 61401.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 335985 + ... + 336015.

It is an arithmetic number, because the mean of its divisors is an integer number (159120).

Almost surely, 2^10416000 is an apocalyptic number.

10416000 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 10416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367360).

10416000 is an abundant number, since it is smaller than the sum of its proper divisors (30318720).

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

10416000 is an equidigital number, since it uses as much as digits as its factorization.

10416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10416000 is about 3227.3828406311. The cubic root of 10416000 is about 218.3904569889.

Adding to 10416000 its reverse (61401), we get a palindrome (10477401).

The spelling of 10416000 in words is "ten million, four hundred sixteen thousand".