4116800 has 84 divisors (see below), whose sum is σ = 10582656. Its totient is φ = 1574400.

The previous prime is 4116781. The next prime is 4116817. The reversal of 4116800 is 86114.

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

It is a congruent number.

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, 49559 + ... + 49641.

It is an arithmetic number, because the mean of its divisors is an integer number (125984).

Almost surely, 2^4116800 is an apocalyptic number.

4116800 is a gapful number since it is divisible by the number (40) 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 4116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328).

4116800 is an abundant number, since it is smaller than the sum of its proper divisors (6465856).

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

4116800 is a wasteful number, since it uses less digits than its factorization.

4116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

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

The square root of 4116800 is about 2028.9898964756. The cubic root of 4116800 is about 160.2703761805.

The spelling of 4116800 in words is "four million, one hundred sixteen thousand, eight hundred".