4096800 has 108 divisors (see below), whose sum is σ = 14471730. Its totient is φ = 1090560.

The previous prime is 4096793. The next prime is 4096819. The reversal of 4096800 is 86904.

It can be written as a sum of positive squares in 3 ways, for example, as 2322576 + 1774224 = 1524^2 + 1332^2 .

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6916 + ... + 7484.

Almost surely, 2^4096800 is an apocalyptic number.

4096800 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 4096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235865).

4096800 is an abundant number, since it is smaller than the sum of its proper divisors (10374930).

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

4096800 is a wasteful number, since it uses less digits than its factorization.

4096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4096800 is about 2024.0553352120. The cubic root of 4096800 is about 160.0104159886.

The spelling of 4096800 in words is "four million, ninety-six thousand, eight hundred".