10396800 has 216 divisors, whose sum is σ = 39153465. Its totient is φ = 2626560.

The previous prime is 10396777. The next prime is 10396801. The reversal of 10396800 is 869301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 207936 = 3192^2 + 456^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2280.

It is not an unprimeable number, because it can be changed into a prime (10396801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 547191 + ... + 547209.

It is a vampire number, since it can be written as 1083 ⋅ 9600 (with its own digits).

Almost surely, 2^10396800 is an apocalyptic number.

10396800 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 10396800

10396800 is an abundant number, since it is smaller than the sum of its proper divisors (28756665).

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

10396800 is a wasteful number, since it uses less digits than its factorization.

10396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10396800 is about 3224.4069222107. The cubic root of 10396800 is about 218.2561867694.

The spelling of 10396800 in words is "ten million, three hundred ninety-six thousand, eight hundred".