10416800 has 72 divisors (see below), whose sum is σ = 26365500. Its totient is φ = 4014080.

The previous prime is 10416797. The next prime is 10416823. The reversal of 10416800 is 861401.

10416800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4443664 + 5973136 = 2108^2 + 2444^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22976 + ... + 23424.

Almost surely, 2^10416800 is an apocalyptic number.

10416800 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 10416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182750).

10416800 is an abundant number, since it is smaller than the sum of its proper divisors (15948700).

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

10416800 is a wasteful number, since it uses less digits than its factorization.

10416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10416800 is about 3227.5067776846. The cubic root of 10416800 is about 218.3960479993.

The spelling of 10416800 in words is "ten million, four hundred sixteen thousand, eight hundred".